SAT Math Practice Question #1651 (Medium (560)) | Test Citadel
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SAT Math Difficulty: Medium (560)

Digital SAT Math Practice Question #1651

Test your problem-solving accuracy on this official-caliber item. Select an answer choice to check your reasoning instantly.

The graph of \(g(x)\) is obtained by shifting the graph of \(f(x)\) horizontally 4 units to the right and vertically 2 units up. Which equation defines \(g(x)\)?
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Socratic AI Engine Step-by-Step Derivation
0ms Precomputed
⚡ 15-Second Desmos Speed Hack

Right is minus inside: (x - 4). Up is plus outside: + 2.

Masterclass Solution & Distractor Trap Analysis

A horizontal shift right by \(h\) units replaces \(x\) with \(x - h\). A vertical shift up by \(k\) units adds \(k\) to the function. For right 4 and up 2: \(g(x) = f(x - 4) + 2\)....

Distractor Analysis: Trap choice eliminates careless test-takers who confuse roots with coordinates...

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