Question

For f(x) = x^2 and g(x) = (x-5)^2 in which direction and by how many units should f(x) be shifted to obtain g(x)?

A.) up 5 units
B.) down 5 units
C.) left 5 units
D.) right 5 units

Answer 1

D

Explanation:

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

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

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

Thus

(x - 5)² represents a shift of f(x) to the right of 5 units