Official Guide Explanation:
Problem Solving #9




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Solution and Metadata

Question: 9
Page: 153
Difficulty: 4 (Moderately Easy)
Category 1: Geometry > Coordinate Geometry > Other

Explanation: When a graph is symmetric with respect to x = 2, it means that any two other x values that are equally distant from 2 have the same corresponding y value. In other words, if the graph is symmetric with respect to x = 2, the y value is the same for x = 0 and x = 4. So, if we need the y value that corresponds to x = 3, it would be sufficient to know the y value that corresponds with x = 1. The question tells us that when x = 1, y = 1, so the answer is 1, choice (E).

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