Suppose that F(x) = x^2 and G(x) =2/3x^2. Which statement best compares the graph of G(x) with the graph of F(x)?

A.The graph of G(x) is the graph of F(x) compressed vertically and flipped over the x-axis.

B.The graph of G(x) is the graph of F(x) stretched vertically and flipped over the x-axis.

C.The graph of G(x) is the graph of F(x) stretched vertically.

D.The graph of G(x) is the graph of F(x) compressed vertically.

Question

Suppose that F(x) = x^2 and G(x) =2/3x^2. Which statement best compares the graph of G(x) with the graph of F(x)?   

A.The graph of G(x) is the graph of F(x) compressed vertically and flipped over the x-axis.  

B.The graph of G(x) is the graph of F(x) stretched vertically and flipped over the x-axis.   

C.The graph of G(x) is the graph of F(x) stretched vertically.   

D.The graph of G(x) is the graph of F(x) compressed vertically.

kirbykirby · Answer

D, since if you have $ax^2$, then if the sign of $a$ didn't change, there is no flipping of the graph. But since $0<a<1$, then it gets compressed.

anonymous · Answer

thank you