Question

Function g is a transformation of the parent function f(x) = x2. The graph of g is a translation left 4 units and down 2 units of the graph of f.
Write the equation for g in the form y = ax2 + bx + c.

Responses

A. y = x2 + 8x + 18
A. y = x 2 + 8 x + 18

B. y = x2 + 8x + 14
B. y = x 2 + 8 x + 14

C. y = x2 − 8x + 18
C. y = x 2 − 8 x + 18

D. y = x2 − 8x + 14

Answer 1

g(x) = (x + 4)^2 − 2 = x^2 + 8x + 16 − 2 = x^2 + 8x + 14, so choice B.