Question

The functions f(x) and g(x) are shown in the graph f(x)=x^2 What is g(x) ?

Answer 1

Answer:

$g(x)=-x^{2}-4$

Step-by-step explanation:

we know that

The function g(x) is a vertical parabola open downward with vertex at (0,-4)

The equation of a vertical parabola into vertex form is equal to

$y=a(x-h)^{2}+k$

I assume that g(x) is a reflection of the function f(x) over the line y=-2

so

a=-1 ---> because in the function f(x) the value of a is equal to 1

therefore

$g(x)=-x^{2}-4$