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

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

Step-by-step 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.