Question

Let g(x) be the reflection of f(x) = x2 +3 in the x-axis. What is the function rule for g(x)?
A. g(x) = -x2 - 3

B. g(x) = -x2 + 3
C. g(x) = x2 - 3
D. g(x) = x2 + 3

Answer 1

if g(x)'s graph is the "reflection" of f(x)
that means that g(x) is the "inverse" function of f(x) thus, find the inverse of f(x)

Answer 2

A. g(x) = -x2 - 3
When you reflect a line over the x axis you change the signs of the equation so "x2" becomes "-x2" and "3" becomes "-3".