Question

Which of the following functions translates the graph of the parent function f(x) = x2 vertically up 6 units?

A. g(x) = x^2 + 6

B. g(x) = (x – 6)2

C. g(x) = x^2 – 6

D. g(x) = (x + 6)2

Answer 1

g(x) = x^2 + 6 (A)

Explanation:

Parent function is f(x) = x^2.

The graph is a parabola whose vertex is the origin.

Shifting the graph up 6 units results in the new function g(x) = x^2 + 6 (A)

Answer 2

g(x) = x^2 + 6 (A)

Explanation:

Parent function is f(x) = x^2.

The graph is a parabola whose vertex is the origin.

Shifting the graph up 6 units results in the new function g(x) = x^2 + 6 (A)