Question

f(x) += 2(3)^x+1 + 4
The graph of f(x) is stretched vertically by a factor of 2 to form the graph of g(x).
What is the equation of g(x)?

The x+1 is the exponent. Explain how you work this out.

Answer 1

$f(x) =2( 3^{x+1})+4$

Stretching a graph vertically by a factor of 2 is the result of scaling (multiplying) the function by 2.

g(x):

$g(x)=2f(x)$

=>

$g(x)=4 (3^{x+1})+8$