Question

1. The quadratic parent function f(x) = x2 was transformed to

create function g(x). Which of the following represents function
g(x)?


A. g(x) = -6f(x)
B g(x) = f(x - 6)
c. g(x) = f(x + 6)
D 0.9(x) = f(x) - 6

Answer 1

C

Explanation:

Given f(x) then f(x + a) is a horizontal translation of f(x)

• If a > 0 then a shift left of a units

• If a < 0 then a shift right of a units

The graph of g(x) is the graph of f(x) shifted 6 units left , then

g(x) = f(x + 6) → C