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) ? enter your answer in the box. g(x) =

g(x) =

Step-by-step explanation:

Given the function:

For the parent function f(x) and a constant k >0,

then,

the function given by  

g(x) = kf(x) can be sketched by vertically stretching f(x) by a factor of k if k>1

or

if 0 < k < 1 , then it is vertically shrinking f(x) by a factor of k

.

As per the given statement that the graph of f(x) is stretched vertically by a factor of 3 i.e

k = 3 >1

so, by definition

g(x) = 3 f(x) =                                    [Using   ]

Therefore, the equation of g(x) =

g(x) = 8(3)^x-1 + 6

Step-by-step explanation:

I took the test, and this was the correct answer!  Have a great day!

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