{"id":45641,"date":"2025-07-01T09:45:41","date_gmt":"2025-07-01T09:45:41","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=45641"},"modified":"2025-07-01T09:45:43","modified_gmt":"2025-07-01T09:45:43","slug":"y-4-0-9-2-3","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/y-4-0-9-2-3\/","title":{"rendered":"y 4 0-9 2 -3"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">y 4 0-9 2 -3 ? 108642 24 x 00 2 9 41 6 10<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"750\" height=\"750\" src=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/07\/image-22.png\" alt=\"\" class=\"wp-image-45642\" srcset=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/07\/image-22.png 750w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/07\/image-22-300x300.png 300w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/07\/image-22-150x150.png 150w\" sizes=\"auto, (max-width: 750px) 100vw, 750px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The correct answer is&nbsp;<strong>-9<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">The question asks to find the value of f(-3) for the function represented by the graphed parabola. In function notation, f(x) represents the output value (the y-coordinate) of the function for a given input value (the x-coordinate). Therefore, finding f(-3) means we need to determine the y-value on the graph when the x-value is -3.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">To find this value from the graph, follow these steps:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Locate the input value on the x-axis.<\/strong>\u00a0The x-axis is the horizontal line. Find the number -3 on this axis. It is located exactly halfway between the grid lines marked -2 and -4.<\/li>\n\n\n\n<li><strong>Find the corresponding point on the parabola.<\/strong>\u00a0From the position x = -3, move vertically downwards until you reach the curve of the parabola. The graph has several points highlighted with red dots, and one of these dots lies precisely at the x-coordinate of -3. This dot represents the point on the function where the input is -3.<\/li>\n\n\n\n<li><strong>Determine the output value from the y-axis.<\/strong>\u00a0Once you have located the point (-3, y) on the parabola, move horizontally from this point to the left until you reach the y-axis, which is the vertical line. Read the value at this position on the y-axis.<\/li>\n<\/ol>\n\n\n\n<p class=\"wp-block-paragraph\">Following this horizontal line from the point on the curve, we can see that it aligns perfectly with the mark for -9 on the y-axis. This means that when x is -3, the corresponding y-value is -9.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Therefore, the coordinates of the point are (-3, -9). This tells us that for this function, f(-3) = -9. Looking at the multiple-choice options provided, the first option is -9, which matches our result from the graph.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"1024\" src=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner5-54.jpeg\" alt=\"\" class=\"wp-image-45643\" srcset=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner5-54.jpeg 1024w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner5-54-300x300.jpeg 300w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner5-54-150x150.jpeg 150w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner5-54-768x768.jpeg 768w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>y 4 0-9 2 -3 ? 108642 24 x 00 2 9 41 6 10 The Correct Answer and Explanation is: The Correct Answer and Explanation is: The correct answer is&nbsp;-9. Explanation The question asks to find the value of f(-3) for the function represented by the graphed parabola. In function notation, f(x) represents the [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-45641","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/45641","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=45641"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/45641\/revisions"}],"predecessor-version":[{"id":45644,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/45641\/revisions\/45644"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=45641"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=45641"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=45641"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}