Question

Let g(x) be the reflection of f(x) = x 2 + 3 in the x-axis. What is the function rule for g(x)? A. g(x) = -x 2 - 3 B. g(x) = -x 2 + 3 C. g(x) = x 2 - 3 D. g(x) = x 2 + 3

Answer 1

A reflection of the function
`y=f(x)` in the x-axis forms from the function
`y=f(x)` th function
`y=-f(x).`

When reflecting the function
`f(x)=x^2+3` in the x-axis, you will get the function

`g(x)=-f(x)=-(x^2+3).`

Eliminate brackets, then

`g(x)=-x^2-3.`

Answer: correct choice is A