Question

Find g(x), where g(x) is the reflection across the x-axis of f(x)=x^2.
Write your answer in the form a(x–h)^2+k, where a, h, and k are integers.

Answer 1

Reflecting f(x)=x^2 across the x-axis multiplies by -1, so

g(x) = -x^2 = -1(x - 0)^2 + 0.

Thus a = -1, h = 0, k = 0.