Respuesta :

Answer: Here you can see that if you do a reflection of f(x) over the x axis, you get g(x). The reflection is done by changing the sign on every "y" that f(x) returns, so if f(x) = y = x^2, then the y reflected over the x axis will be "-y". So the reflection of f(x) is -f(x).

then if f(x)= x^2, g(x) will be -1*f(x):

so g(x) = -1*x^2 = -(x^2)

The equation for function g is given by g(x) = -f(x) = -x²

What is transformation?

Transformation is the movement of a point from its intial location to a new location. Types of transformation are translation, reflection, rotation and dilation.

From the diagram, we can say that g(x) = -f(x) = -x²

The equation for function g is given by g(x) = -f(x) = -x²

Find out more on transformation at: https://brainly.com/question/4289712