The graph of f(x) = 7^x is stretched vertically by a factor of five. Which of the following is the equation of the new graph, g(x)?
A.
g(x) = 5^(7x)
B.
g(x) = 7(5^x)
C.
g(x) = 7^(5x)
D.
g(x) = 5(7^x)

The graph of fx 7x is stretched vertically by a factor of five Which of the following is the equation of the new graph gx A gx 57x B gx 75x C gx 75x D gx 57x class=

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[tex]g(x) = 5( {7}^{x} )[/tex]

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The correct answer is (( D )) .

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The Graph transformation of [tex]f(x) = 7^x[/tex] which stretched vertically by a factor of five is  [tex]g(x) = 5(7^x)[/tex] .

What is graph transformation?

Graph transformation is the process by which an existing graph, or graphed equation, is modified to produce a variation of the proceeding graph .

According to the question

The graph of [tex]f(x) = 7^x[/tex]  stretched vertically by a factor of five .

i.e

we have to make change is graph equation so y axis changes 5 times .

Therefore ,

[tex]f(x) =( 7^x ) * 5[/tex]

The Graph transformation  of f(x) is

[tex]g(x) = 5(7^x)[/tex]

Hence, the Graph transformation of [tex]f(x) = 7^x[/tex] which stretched vertically by a factor of five is  [tex]g(x) = 5(7^x)[/tex]

To know more about Graph transformation here:

https://brainly.com/question/10059147

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