Question

The graph of the function F(x) = 2x^2-8 is changed. The new graph can be

represented by the function F(X)= -2x^2-4.

Which of the following describes the changes made to the graph of the
original function?

Answer 1

The graph now opens in the opposite direction. The y intercept is shifted up 4.

Explanation:

F(x) = 2x^2-8

F(X)= -2x^2-4

We know that the graph is reflected over the y-intercept becuase of the negative sign in the second equation ( F(X)= -2x^2-4)

We know that the intercept is shifted up four, because the number decreased from 8 to 4, and the graph is reflected.

Attacthed is both of the equations graphed to help you visualize this shift!