Question

Which statements are true for the functions g(x) = x2 and h(x) = -x2? Check all that apply.

Answer 1

ANSWER

See below

EXPLANATION

The given functions are:

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

and

$h(x) = - {x}^{2}$

The following statements are true;

h(x) is the reflection of g(x) in the x-axis.

g(x) opens upwards while h(x) opens downwards

Both functions have their vertex and intercepts at the origin.

The x-axis is a tangent to both functions at x=0.

g(x) has a minimum point

h(x) has a maximum point.