{"id":242139,"date":"2025-07-04T06:12:48","date_gmt":"2025-07-04T06:12:48","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=242139"},"modified":"2025-07-04T06:12:50","modified_gmt":"2025-07-04T06:12:50","slug":"what-is-the-rule-for-a-reflection-across-the-y-axis","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/04\/what-is-the-rule-for-a-reflection-across-the-y-axis\/","title":{"rendered":"What is the rule for a reflection across the y axis"},"content":{"rendered":"\n<p>What is the rule for a reflection across the y axis?<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\">The correct answer and explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>A reflection across the y-axis changes the x-coordinates of the points in a given figure while leaving the y-coordinates unchanged. The rule for reflecting a point across the y-axis is: (x,y)\u2192(\u2212x,y)(x, y) \\rightarrow (-x, y)<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>In a reflection across the y-axis, every point on the figure moves horizontally to the opposite side of the y-axis, while its vertical position remains the same. This transformation is a type of rigid motion, meaning that the shape and size of the figure do not change; only its position does.<\/p>\n\n\n\n<p>Consider a point with coordinates (x,y)(x, y). When reflected across the y-axis, the x-coordinate becomes its opposite (negative of the original), while the y-coordinate stays the same. Therefore, the new coordinates after the reflection are (\u2212x,y)(-x, y).<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Example:<\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Take the point (3,4)(3, 4). After reflecting across the y-axis, the new coordinates will be (\u22123,4)(-3, 4). Notice that the point moves from the right of the y-axis to the left, but its vertical position (4) stays the same.<\/li>\n\n\n\n<li>Similarly, for the point (\u22122,5)(-2, 5), after reflection, the coordinates become (2,5)(2, 5). The point moves from the left side of the y-axis to the right, but the vertical position (5) remains unchanged.<\/li>\n<\/ol>\n\n\n\n<h3 class=\"wp-block-heading\">General Behavior of Reflections:<\/h3>\n\n\n\n<p>Reflections across the y-axis result in a mirror image of the original figure. If the original figure lies to the right of the y-axis, its reflection will appear to the left, and vice versa. Importantly, all distances between points on the figure are preserved, meaning the shape stays exactly the same, just flipped horizontally.<\/p>\n\n\n\n<p>This rule can be applied to geometric shapes like triangles, squares, or any polygon, and to functions or graphs. When reflecting a graph across the y-axis, every point on the graph undergoes the same transformation: its x-coordinate changes sign.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>What is the rule for a reflection across the y axis? The correct answer and explanation is: A reflection across the y-axis changes the x-coordinates of the points in a given figure while leaving the y-coordinates unchanged. The rule for reflecting a point across the y-axis is: (x,y)\u2192(\u2212x,y)(x, y) \\rightarrow (-x, y) Explanation: In a [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-242139","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/242139","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=242139"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/242139\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=242139"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=242139"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=242139"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}