# SAT Math Multiple Choice Practice Question 556: Answer and Explanation

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**Question: 556**

**13.**

The figures above show the graphs of the functions *f* and *g*. The function *f* is defined by *f*(*x*)= 2*x*^{3} + 5*x*^{2} – *x*. The function g is defined by *g*(*x*) = *f*(*x* – *h*) – *k*, where *h* and *k* are constants. What is the value of *hk* ?

A. –2

B. –1

C. 0

D. 1

E. 2

**Correct Answer:** B

**Explanation:**

**B** The second graph moves down 1 and to the left 1. Remember that when a graph moves to the left it is represented by (*x* + *h*), which would be the same as *x* – (–1). So *h* = –1. Because a negative *k* represents moving down, *k* = 1. 1 × (?1) = ?1.