# SAT Math Multiple Choice Question 922: Answer and Explanation

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**Question: 922**

**6.** The figure above shows the graph of *h*(*x*) on the interval –6 ≤ *x* ≤ 6. If *h*(3) = a, what is the value of *h*(*a*)?

- A. –6
- B. –5
- C. 0
- D. 2

**Correct Answer:** D

**Explanation:**

**D**

**Difficulty:** Medium

**Category:** Passport to Advanced Math / Functions

**Strategic Advice:** When presented with a function in equation form (here, *h*(3) = *a*), 3 is the input (*x*) and *a* is the output (*y*). Use this information and the graph to first find *a*, and then *h*(*a*).

**Getting to the Answer:** If *h*(3) = *a*), then *a* is the *y*-coordinate of the point on the graph when *x* = 3; the point is (3, -5), so *a* = -5. You're not done yet-you're asked for the value of *h*(*a*), or *h*(-5). Find the point on the graph that has an *x*-coordinate of -5; the point is (-5, 2), so *h*(*a*) = 2.This matches (D).