{"id":37779,"date":"2026-01-25T18:45:25","date_gmt":"2026-01-25T18:45:25","guid":{"rendered":"https:\/\/mp.moonpreneur.com\/math-corner\/?p=37779"},"modified":"2026-03-30T13:06:12","modified_gmt":"2026-03-30T13:06:12","slug":"tangency-of-a-parabola","status":"publish","type":"post","link":"https:\/\/mp.moonpreneur.com\/math-corner\/tangency-of-a-parabola\/","title":{"rendered":"Condition of Tangency for a Parabola: Formula and Derivation"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"37779\" class=\"elementor elementor-37779\" data-elementor-post-type=\"post\">\n\t\t\t\t\t\t<div class=\"elementor-inner\">\n\t\t\t\t<div class=\"elementor-section-wrap\">\n\t\t\t\t\t\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-fcfec80 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"fcfec80\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-92390b3\" data-id=\"92390b3\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-0fa4990 elementor-widget elementor-widget-text-editor\" data-id=\"0fa4990\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<h5><span style=\"color: #ff0000;\"><b>\u00a0Understanding Tangents and Parabolas for the SAT<\/b><\/span><\/h5><p><span style=\"font-weight: 400;\">SAT preparation can often feel like trying to solve a puzzle where the pieces keep changing shape. But now and then, you come across a mathematical concept that is so elegant it almost feels like art. <\/span><b>One of those concepts is the relationship between a line ( <\/b><b><i>y <\/i><\/b><b>= <\/b><b><i>mx <\/i><\/b><b>+ <\/b><b><i>c <\/i><\/b><b>) and a parabola when they are tangent to each other.<\/b><\/p><p><strong>The Parabola:<\/strong><\/p><p><a href=\"https:\/\/mp.moonpreneur.com\/math-corner\/wp-content\/uploads\/2026\/01\/condition-of-tangency-for-a-parabola.jpeg\"><img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-37782\" src=\"https:\/\/mp.moonpreneur.com\/math-corner\/wp-content\/uploads\/2026\/01\/condition-of-tangency-for-a-parabola.jpeg\" alt=\"\" width=\"271\" height=\"400\" \/><\/a><\/p><h5><span style=\"color: #800000;\"><b>What Does &#8220;Tangent&#8221; Actually Mean?<\/b><\/span><\/h5><p><span style=\"font-weight: 400;\">When we say a line is <\/span><b>tangent<\/b><span style=\"font-weight: 400;\"> to a curve, we mean they touch at <\/span><b>exactly one point<\/b><span style=\"font-weight: 400;\">. Think of it like a high-five between a straight line and a curve; they meet, they touch, but they don&#8217;t cross over each other.<\/span><\/p><p><span style=\"font-weight: 400;\">On your exam, you might see a linear equation like <\/span><b><i>y <\/i><\/b><b>= <\/b><b><i>mx <\/i><\/b><b>+ <\/b><b><i>c<\/i><\/b><span style=\"font-weight: 400;\"> and a quadratic equation (a parabola). If the problem states the line is tange<\/span><b>nt to the parabola<\/b><span style=\"font-weight: 400;\">, it is giving you a massive hint: <\/span><b>there is only one solution to the system of equations.<\/b><\/p><h4><span style=\"color: #008000;\"><b>The Formula for Tangency<\/b><\/span><\/h4><p><span style=\"font-weight: 400;\">For a line <\/span><i><span style=\"font-weight: 400;\">y<\/span><\/i><span style=\"font-weight: 400;\">=<\/span><i><span style=\"font-weight: 400;\">mx<\/span><\/i><span style=\"font-weight: 400;\">+<\/span><i><span style=\"font-weight: 400;\">c<\/span><\/i><span style=\"font-weight: 400;\"> to be tangent to a parabola (for example y = ax\u00b2 ), <\/span><span style=\"font-weight: 400;\">the discriminant of the resulting quadratic equation must equal zero.<\/span><\/p><p><span style=\"font-weight: 400;\">\u00a0The common specific formula used for a parabola y\u00b2 = 4ax \u00a0and a line y = mx + c, is: \\(\\displaystyle c = \\frac{a}{m}\\)<br \/><\/span><\/p><h4><span style=\"color: #008000;\"><b>The Derivation (Step-by-Step)\u00a0<\/b><\/span><\/h4><p><span style=\"font-weight: 400;\">To find the condition where a line and a parabola touch at exactly one point, follow these logical steps:<\/span><\/p><h6><span class=\"ng-star-inserted\" style=\"color: #ff0000;\">1. <\/span><b class=\"ng-star-inserted\" data-start-index=\"1021\"><span style=\"color: #ff0000;\">Create a System of Equations<\/span>:<\/b> <span class=\"ng-star-inserted\" data-start-index=\"1051\">Start with the equation of the parabola and the line.<\/span><\/h6><ul><li class=\"paragraph normal ng-star-inserted\" data-start-index=\"1104\"><span class=\"ng-star-inserted\" data-start-index=\"1104\">Parabola: y = ax\u00b2 +bx + k<\/span><\/li><li class=\"paragraph normal ng-star-inserted\" data-start-index=\"1131\"><span class=\"ng-star-inserted\" data-start-index=\"1131\">Line: <\/span><span class=\"ng-star-inserted\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">y <\/span><span class=\"mrel\">= <\/span><\/span><span class=\"base\"><span class=\"mord mathnormal\">m<\/span><span class=\"mord mathnormal\">x <\/span><span class=\"mbin\">+ <\/span><\/span><span class=\"base\"><span class=\"mord mathnormal\">c<\/span><\/span><\/span><\/span><\/span><\/li><\/ul><h6 class=\"paragraph normal ng-star-inserted\" data-start-index=\"1147\"><span style=\"color: #ff0000;\"><span class=\"ng-star-inserted\">2. <\/span><b class=\"ng-star-inserted\" data-start-index=\"1147\">Set Them Equal to Each Other:<\/b><\/span> <span class=\"ng-star-inserted\" data-start-index=\"1177\">Since they meet at the point of tangency, their <\/span><span class=\"ng-star-inserted\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">y<\/span><\/span><\/span><\/span><\/span><span class=\"ng-star-inserted\" data-start-index=\"1226\">-values are equal at that point:<\/span> ax\u00b2 + bx + k = mx + c<\/h6><div data-start-index=\"1147\">\u00a0<\/div><h6 data-start-index=\"1147\"><span style=\"color: #ff0000;\"><span class=\"ng-star-inserted\">3. <\/span><b class=\"ng-star-inserted\" data-start-index=\"1281\">Rearrange into Standard Quadratic Form (Ax\u00b2+Bx+C=0):<\/b><\/span> <span class=\"ng-star-inserted\" data-start-index=\"1341\">Move all terms to one side to set the equation to zero:<\/span> ax\u00b2 + (b\u2212m)x + (k\u2212c) = 0<\/h6><div data-start-index=\"1147\">\u00a0<\/div><h6 data-start-index=\"1147\"><span style=\"color: #ff0000;\"><span class=\"ng-star-inserted\">4. <\/span><b class=\"ng-star-inserted\" data-start-index=\"1426\">Apply the &#8220;Simple Rule&#8221; (The Discriminant):<\/b><\/span> <span class=\"ng-star-inserted\" data-start-index=\"1470\">As mentioned in the sources, a &#8220;simple rule&#8221; helps solve these problems<\/span><span class=\"ng-star-inserted\" data-start-index=\"1541\">. For a line to be <\/span><b class=\"ng-star-inserted\" data-start-index=\"1560\">tangent<\/b><span class=\"ng-star-inserted\" data-start-index=\"1567\">, there must be exactly <\/span><b class=\"ng-star-inserted\" data-start-index=\"1591\">one solution<\/b><span class=\"ng-star-inserted\" data-start-index=\"1603\"> (one point of intersection). In algebra, a quadratic equation has exactly one solution if its <\/span><b class=\"ng-star-inserted\" data-start-index=\"1698\">discriminant (<\/b><span class=\"ng-star-inserted\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">D<\/span><\/span><\/span><\/span><\/span><b class=\"ng-star-inserted\" data-start-index=\"1713\">) is zero<\/b><span class=\"ng-star-inserted\" data-start-index=\"1722\">.<\/span><\/h6><div data-start-index=\"1147\"><ul><li class=\"paragraph normal ng-star-inserted\" data-start-index=\"1723\"><span class=\"ng-star-inserted\" data-start-index=\"1723\">The formula for the discriminant is D = B\u00b2 \u2212 4AC.<\/span><\/li><li class=\"paragraph normal ng-star-inserted\" data-start-index=\"1773\"><span class=\"ng-star-inserted\" data-start-index=\"1773\">In our rearranged equation: <\/span><span class=\"ng-star-inserted\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">A <\/span><span class=\"mrel\">= <\/span><\/span><span class=\"base\"><span class=\"mord mathnormal\">a<\/span><\/span><\/span><\/span><\/span><span class=\"ng-star-inserted\" data-start-index=\"1806\">,\u00a0 <\/span><span class=\"ng-star-inserted\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">B <\/span><span class=\"mrel\">= <\/span><\/span><span class=\"base\"><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">b<\/span><span class=\"mbin\">\u2212<\/span><\/span><span class=\"base\"><span class=\"mord mathnormal\">m<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span><span class=\"ng-star-inserted\" data-start-index=\"1819\">,\u00a0 and <\/span><span class=\"ng-star-inserted\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">C <\/span><span class=\"mrel\">= <\/span><\/span><span class=\"base\"><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">k<\/span><span class=\"mbin\">\u2212<\/span><\/span><span class=\"base\"><span class=\"mord mathnormal\">c<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span><span class=\"ng-star-inserted\" data-start-index=\"1836\">.<\/span><\/li><\/ul><p><span style=\"color: #ff0000;\"><span class=\"ng-star-inserted\">5. <\/span><b class=\"ng-star-inserted\" data-start-index=\"1837\">Set the Discriminant to Zero:<\/b><\/span> (b\u2212m)\u00b2 \u2212 4(a)(k\u2212c) = 0<\/p><h4><span style=\"color: #008000;\"><b>Why This Matters for Your Score<\/b><\/span><\/h4><p><span style=\"font-weight: 400;\">We have always been told that &#8220;a simple rule will help solve problems like these.&#8221; For SAT\u00a0 students, that &#8220;simple rule&#8221; often involves the discriminant. When you set the line equation equal to the parabola equation, you create a new quadratic. <\/span><b>Because they are tangent (touching at one point), the discriminant of that new quadratic must be zero.<\/b><\/p><\/div><p><span style=\"font-weight: 400;\">It\u2019s easy to get lost in the symbols (m, x, c), but try to remember that math is just a language used to describe the world. These properties aren&#8217;t just random rules\u2014they are consistent truths.<\/span><\/p><h5><span style=\"color: #800080;\"><strong>For a more detailed walkthrough, you can watch this video: <\/strong><\/span><\/h5>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-f1092aa elementor-widget elementor-widget-video\" data-id=\"f1092aa\" data-element_type=\"widget\" data-settings=\"{&quot;video_type&quot;:&quot;hosted&quot;,&quot;controls&quot;:&quot;yes&quot;}\" data-widget_type=\"video.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"e-hosted-video elementor-wrapper elementor-open-inline\">\n\t\t\t\t\t<video class=\"elementor-video\" src=\"https:\/\/mp.moonpreneur.com\/math-corner\/wp-content\/uploads\/2026\/01\/A-line-y-mxc-tangent-to-a-parabola.mp4\" controls=\"\" preload=\"metadata\" controlsList=\"nodownload\"><\/video>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-000fa3b elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"000fa3b\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-1901152\" data-id=\"1901152\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-efb1fbf elementor-widget elementor-widget-text-editor\" data-id=\"efb1fbf\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<h5><span style=\"color: #008000;\"><b>Here are a few tips to keep you interested and focused during your study sessions:<\/b><\/span><\/h5><ul><li><span style=\"font-weight: 400;\"><b>Visualize the Graph:<\/b> Don&#8217;t just look at the numbers. Imagine the parabola opening up and the line sliding perfectly against its side.<\/span><\/li><li><b>Keep it Simple:<\/b><span style=\"font-weight: 400;\"> Focus on the &#8220;simple rules&#8221; that apply to multiple problems.\u00a0<\/span><\/li><\/ul><p><span style=\"font-weight: 400;\">By mastering concepts like <\/span><b>tangency<\/b><span style=\"font-weight: 400;\">, you aren&#8217;t just learning for a test\u2014you&#8217;re training your brain to see the patterns in the world around you<\/span><\/p><p><span style=\"font-weight: 400;\">Want to excite your child about math and sharpen their math skills? Moonpreneur&#8217;s online math curriculum is unique as it helps children understand math skills through hands-on lessons, assists them in building real-life applications, and excites them to learn math.\u00a0<\/span><\/p><p><span style=\"font-weight: 400;\">You can opt for our <\/span><a href=\"https:\/\/moonpreneur.com\/innovator-program\/advanced-math\/\"><span style=\"font-weight: 400;\">Advanced Math<\/span><\/a><span style=\"font-weight: 400;\"> or Vedic Math+Mental Math courses. Our <\/span><a href=\"https:\/\/mp.moonpreneur.com\/math-quiz-for-kids\/\"><span style=\"font-weight: 400;\">Math Quiz<\/span><\/a><span style=\"font-weight: 400;\"> for grades 3rd, 4th, 5th, and 6th helps in further exciting and engaging in mathematics with hands-on lessons.<\/span><\/p><h4><b>Recommended Reading:<\/b><\/h4><ol><li style=\"font-weight: 400;\" aria-level=\"1\"><a href=\"https:\/\/mp.moonpreneur.com\/math-corner\/exponential-equations-using-recursion-and-algebraic\/\"><span style=\"font-weight: 400;\">Solving Exponential Equations Using Recursion: A Step-by-Step Guide<\/span><\/a><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><a href=\"https:\/\/mp.moonpreneur.com\/math-corner\/linear-equations-different-solutions\/\"><span style=\"font-weight: 400;\">Linear Equation &#8211; One Solution, No Solution and Many Solutions<\/span><\/a><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><a href=\"https:\/\/mp.moonpreneur.com\/math-corner\/geometry-problem\/\"><span style=\"font-weight: 400;\">Interesting Geometry Problem to Solve For Kids<\/span><\/a><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><a href=\"https:\/\/mp.moonpreneur.com\/math-corner\/sat-quadratics-tricks\/\"><span style=\"font-weight: 400;\">The Ultimate Guide to Solving SAT Quadratics in Seconds<\/span><\/a><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><p><a href=\"https:\/\/mp.moonpreneur.com\/math-corner\/sherman-morrison-woodbury-identity\/\"><span style=\"font-weight: 400;\">Application &amp; Proof\u00a0 of the Sherman-Morrison-Woodbury Identity<\/span><\/a><\/p><\/li><li aria-level=\"1\"><a href=\"https:\/\/mp.moonpreneur.com\/math-corner\/round-to-the-nearest-thousandth-guide\/\">Round to the Nearest Thousandth Guide<\/a><\/li><\/ol><p><a href=\"https:\/\/mp.moonpreneur.com\/math-corner\/wp-content\/uploads\/2026\/01\/condition_of_tangency_for-a_parabola.jpeg\"><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-37781\" src=\"https:\/\/mp.moonpreneur.com\/math-corner\/wp-content\/uploads\/2026\/01\/condition_of_tangency_for-a_parabola.jpeg\" alt=\"\" width=\"1218\" height=\"1080\" \/><\/a><\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-4dd7e1e elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"4dd7e1e\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-70c82a2\" data-id=\"70c82a2\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-eb6ea7a elementor-widget elementor-widget-text-editor\" data-id=\"eb6ea7a\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<h3><strong>FAQs on Tangency of a Parabola<\/strong><\/h3>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-44c18e9 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"44c18e9\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-24f8067\" data-id=\"24f8067\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-b4d1436 elementor-widget elementor-widget-elementskit-faq\" data-id=\"b4d1436\" data-element_type=\"widget\" data-widget_type=\"elementskit-faq.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<div class=\"ekit-wid-con\">\n                <div class=\"elementskit-single-faq elementor-repeater-item-95228b5\">\n            <div class=\"elementskit-faq-header\">\n                <h2 class=\"elementskit-faq-title\">1. What does it mean for a line to be tangent to a parabola?<\/h2>\n            <\/div>\n            <div class=\"elementskit-faq-body\">\n                Ans. When a linear equation (y=mx+c) is tangent to a parabola, it means the line and the curve touch at exactly one point. On the SAT, identifying this \"perfect touch\" is crucial because it indicates there is only one solution to the system of equations.\n            <\/div>\n        <\/div>\n                <div class=\"elementskit-single-faq elementor-repeater-item-62a8206\">\n            <div class=\"elementskit-faq-header\">\n                <h2 class=\"elementskit-faq-title\">2. Does this help with the ACT as well as the SAT?<\/h2>\n            <\/div>\n            <div class=\"elementskit-faq-body\">\n                Ans. Yes.The sources highlight that these \"simple rules\" apply to various standardized tests, including specific help for ACT Math Matrix questions and the Law of Sines. Learning these core properties allows you to solve complex problems across different exam formats more efficiently.            <\/div>\n        <\/div>\n        \n    <\/div>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>\u00a0Understanding Tangents and Parabolas for the SAT SAT preparation can often feel like trying to solve a puzzle where the pieces keep changing shape. But now and then, you come across a mathematical concept that is so elegant it almost feels like art. One of those concepts is the relationship between a line ( y [&hellip;]<\/p>\n","protected":false},"author":116,"featured_media":38043,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"inline_featured_image":false},"categories":[979,1034,986],"tags":[],"acf":[],"_links":{"self":[{"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/posts\/37779"}],"collection":[{"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/users\/116"}],"replies":[{"embeddable":true,"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/comments?post=37779"}],"version-history":[{"count":15,"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/posts\/37779\/revisions"}],"predecessor-version":[{"id":38233,"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/posts\/37779\/revisions\/38233"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/media\/38043"}],"wp:attachment":[{"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/media?parent=37779"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/categories?post=37779"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/tags?post=37779"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}