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

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