Question

The graph of which function is stretched vertically and reflected in the x-axis as compared to the parent quadratic function?

F. G(x)= 2x^2
G. G(x) = -2x^2
H. G(x)= 0.4x^2
I. G(x) = -0.4x^2

Answer 1

G. G(x) = -2x^2

Explanation:

For reflection in the x-axis, y-values are negated. That is, for F(x) = x^2, G(x) = -x^2 will be the function F reflected across the x-axis.

For vertical stretch, the function is multiplied by a factor greater than 1. If G(x) = -x^2 is vertically stretched by a factor of 2, it becomes G(x) = -2x^2.

G(x) = -2x^2 is a reflection and vertical stretch of the parent quadratic function F(x) above.