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PLEASE HELP!!

Let f(x)=8(3)^x^−2 +2 .

The graph of f(x) is stretched vertically by a factor of 3 to form the graph of g(x) .

What is the equation of g(x)?

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1 Answer

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Answer: The equation of g(x) is given by


g(x)=8(3^{x^(-2)+1}+2)

Explanation:

Since we have given that


f(x)=8(3)^x^(-2) +2

According to question, the graph of f(x) is stretched vertically by a factor of 3 to form the graph of g(x).

Equation for vertically stretch by a factor of 'a' is given by


g(x)=a* f(x)

Since there is vertically stretch by a factor of 3 i.e.


g(x)=3(8(3^{x^(-2)}))+2\\\\g(x)=8(3^{x^(-2)+1}+2)

Hence, the equation of g(x) is given by


g(x)=8(3^{x^(-2)+1}+2)

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