<p>The graph of function \(f\) for&nbsp;\(-3 \leq x \leq 3\) is shown in the following diagrams.</p>
<div class="content-block"><figure class="question-figure aligncenter" style="text-align: center;"><img src="https://vocwkpgapvksartxhhor.supabase.co/storage/v1/object/sign/question-images/pasted/1789891157605-i3we8zn45ii.png?token=eyJraWQiOiJiZTM3ZjNhZS05OWM4LTQ5ZGQtYjRiNS1iMTBhYmJhNjY5MWYiLCJhbGciOiJIUzI1NiJ9.eyJ1cmwiOiJxdWVzdGlvbi1pbWFnZXMvcGFzdGVkLzE3ODk4OTExNTc2MDUtaTN3ZTh6bjQ1aWkucG5nIiwic2NvcGUiOiJkb3dubG9hZCIsImlhdCI6MTc5Mzc5OTM4OCwiZXhwIjoxNzkzNzk5Njg4fQ.BNwqvUend7o-H-mejXJKZU68MN4lRmF4IJN6nk8OgQs" style="max-width: min(400px, 100%); height: auto; display: block;" class="aligncenter custom-width" /></figure></div>
<p>The following graphs are transformations of the graph of \(y = f(x)\).</p>
<div class="content-block"><figure class="question-figure aligncenter" style="text-align: center;"><img src="https://vocwkpgapvksartxhhor.supabase.co/storage/v1/object/sign/question-images/pasted/1789891254752-kn92ewc46q.png?token=eyJraWQiOiJiZTM3ZjNhZS05OWM4LTQ5ZGQtYjRiNS1iMTBhYmJhNjY5MWYiLCJhbGciOiJIUzI1NiJ9.eyJ1cmwiOiJxdWVzdGlvbi1pbWFnZXMvcGFzdGVkLzE3ODk4OTEyNTQ3NTIta245MmV3YzQ2cS5wbmciLCJzY29wZSI6ImRvd25sb2FkIiwiaWF0IjoxNzkzNzk5Mzg4LCJleHAiOjE3OTM3OTk2ODh9.QwrffGbNcpemDfrdj4orfdkD9dpDq3evngYaLdx_gvY" style="max-width: min(400px, 100%); height: auto; display: block;" class="aligncenter custom-width" /></figure></div>
<div class="content-block"><figure class="question-figure aligncenter" style="text-align: center;"><img src="https://vocwkpgapvksartxhhor.supabase.co/storage/v1/object/sign/question-images/pasted/1789891271238-vj41etnjnkk.png?token=eyJraWQiOiJiZTM3ZjNhZS05OWM4LTQ5ZGQtYjRiNS1iMTBhYmJhNjY5MWYiLCJhbGciOiJIUzI1NiJ9.eyJ1cmwiOiJxdWVzdGlvbi1pbWFnZXMvcGFzdGVkLzE3ODk4OTEyNzEyMzgtdmo0MWV0bmpua2sucG5nIiwic2NvcGUiOiJkb3dubG9hZCIsImlhdCI6MTc5Mzc5OTM4OCwiZXhwIjoxNzkzNzk5Njg4fQ.GAzjFhgjNbYjk_voVsWelOTtpFHtHMKbvZfL474TYAk" style="max-width: min(400px, 100%); height: auto; display: block;" class="aligncenter custom-width" /></figure></div>
<p>Consider the following table of transformations of \(y = f(x)\).<br>Next to each transformed function, write down the letter that corresponds to its graph.</p>
<div class="content-block content-block--table"><div class="table-container"><table style="table-layout: fixed; width: 300px;"><colgroup><col style="width: 50.0000%;"><col style="width: 50.0000%;"></colgroup><thead><tr><th style="text-align: center; --cell-justify: center"><strong>Function</strong></th><th style="text-align: center; --cell-justify: center"><strong>Letter</strong></th></tr></thead><tbody><tr><td style="text-align: center; --cell-justify: center">\(y = f(x + 1)\)</td><td style="text-align: center; --cell-justify: center"></td></tr><tr><td style="text-align: center; --cell-justify: center">\(y = f(x) - 1\)</td><td style="text-align: center; --cell-justify: center"></td></tr><tr><td style="text-align: center; --cell-justify: center">\(y = f(-x)\)</td><td style="text-align: center; --cell-justify: center"></td></tr><tr><td style="text-align: center; --cell-justify: center">\(y = f(2x)\)</td><td style="text-align: center; --cell-justify: center"></td></tr></tbody></table></div></div>

The graph of function \(f\) for \(-3 \leq x \leq 3\) is shown in the following diagrams.

The following graphs are transformations of the graph of \(y = f(x)\).

Consider the following table of transformations of \(y = f(x)\).
Next to each transformed function, write down the letter that corresponds to its graph.

Functions

International Baccalaureate Mathematics: Analysis and Approaches Standard Level

2025 NOV TZ1 P1 Q1

2025 NOV TZ1 P1 Q1

Function	Letter
\(y = f(x + 1)\)
\(y = f(x) - 1\)
\(y = f(-x)\)
\(y = f(2x)\)