Question

F(x) = x² + 5x-1 is shifted 3 units right. The result is g(x). What is g(x)?

Answer 1

Answer:

D

Step-by-step explanation:

When a function is being shifted to the left, all x values will be added by y units shifted. (The constant that comes with x is excluded, eg. 3x shifted by 2 units left, becomes 3(x+2) and not 3x+2.)

Likewise, when a function is being shifted to the right, all x values will be subtracted by y units shifted. (Constant rules applies as well.)

Given f(x) is shifted 3 units right,

the new function, g(x) becomes:

$g(x) = {(x - 3)}^{2} + 5(x - 3) - 1$

Therefore the answer is D in this case.