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)
?
 

g(x)

To find the equation of g(x), we need to apply the vertical stretch to the equation of f(x).

The vertical stretch is given by multiplying the original function by the stretch factor, which in this case is 3.

So, the equation of g(x) can be found by multiplying 3 to the original function f(x):

g(x) = 3 * f(x)

Substituting the equation of f(x) into the above expression:

g(x) = 3 * (8 * (3)^(x-2) + 2)

Simplifying further:

g(x) = 24 * (3)^(x-2) + 6

Therefore, the equation of g(x) is:

g(x) = 24 * (3)^(x-2) + 6

You have some funky formatting there. I read it as

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

but it doesn't really matter what f(x) is. Stretching by a factor 3 just means that

g(x) = 3*f(x)