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)? Question 1 options: A. g(x) = -x^2 - 3 B. g(x) = -x^2 + 3 C. g(x) = x2 - 3 D. g(x) = x^2 + 3

Answer 1

g(x) = -x^2 - 3

Explanation:

The function f(x) = x^2 +3 represents a parabola which opens up and has its vertex at (0,3). Reflecting this graph in the x-axis results in a parabola that opens down and has its vertex at (0,-3). Answer Option A is correct.