Question

The graph of F(x) can be stretched vertically and flipped over the x-axis to produce the graph of G(x). If F(x) = x2, which of the following could be the equation of G(x)?

A. G(x) = x2
B. G(x) = -x2
C. G(x) = -4x2
D. G(x) = 4x2

Answer 1

if we want to stretch graph vertically we need to multiply function f(x) with a number greater than 1. By doing so we will for same difference of x get larger difference of F(x) which means function will be stretched.

If we want to flipp over x axis function F(x) all we need to do is to multiply it by -1. Function will change its sign thus for same values of x we will get value of F(x) with oposite sign which means function will be flipped over x axis.

Looking at offered answers we can say that A and B arent answer because we didnt multiply function with number greater than 1.

Answer is C) G(x) = -4x^2