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)=x^2, which of the following could be the equation of G(x)?
A: G(x)=-1/5x^2
B:G(x)=5x^2
C:G(x)=1/5x^2
D:G(x)=-5x^2

Respuesta :

To stretch it vertically, you'll need a coefficient greater than 1 in front of the x. If you want to flip the graph over the x axis that coefficient needs to be negative. So it can only be D

When the graph of [tex]f(x) = x^{2}[/tex] is stretched vertically and flipped over the x-axis to produce g(x), then g(x) can only be D. [tex]g(x) = -5x^{2}[/tex].

What is meant by graph stretched vertically ?

Vertical stretch occurs when a base graph is multiplied by a certain factor that is greater than 1.

What is meant by graph flipped over the x-axis ?

Graph flipped over the x axis means that the function f(x) = x becomes f(x) = -x.

Learn more about stretched vertically and flipped over the x axis here

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