Question

Let f(x)=8(3)^x-2+2. The graph is stretched vertically by a factor of 3 to form the graph g(x) what is the equation of g(x)

Answer 1

g(x) = 24(3)^(x-2) +6 It's the last 2 I guessed on a test and got it right!

Answer 2

g(x) = 3f(x)

Step-by-step explanation:

Stretching vertically by a factor of 3 multiplies every function value by 3. Thus ...

... g(x) = 3f(x)

_____

Your given equation makes no sense unless we add some parentheses.

For ...

... f(x) = 8×3^(x-2) +2

... g(x) = 3f(x) = 3×(8×3^(x-2) +2)

... g(x) = 8×3^(x-1) +6