SAT Math Multiple Choice Practice Question 556: Answer and Explanation

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Question: 556


The figures above show the graphs of the functions f and g. The function f is defined by f(x)= 2x3 + 5x2x. The function g is defined by g(x) = f(xh) – 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


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.

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