Question

F(x) = x2 + 3x + 2 is shifted 2 units left. The result is g(x). What is g(x)?

A. g(x) = x2 + 3x + 4
B. g(x) = (x – 2)2 + 3(x – 2) + 2
C. g(x) = (x + 2)2 + 3x + 2
D. g(x) = (x + 2)2 + 3(x + 2) + 2

Answer 1

D. g(x) = (x + 2)^2 + 3(x + 2) + 2

Explanation:

To shift the function to the left by 2 units, x is replaced by x - (-2) = x+2. Then you have ...

... f(x+2) = g(x) = (x+2)² +3(x+2) +2 . . . . matches selection D