Question

If you vertically stretch the exponential function f(x) = 2^x by a factor of 3, what

is the equation of the new function?

A. f(x) = 5^x
B. f(x) = 2(3^x)
C. f(x) = 3(2^x)
D. f(x) = 6^x

Answer 1

Answer:
`C. f(x) = 3(2^x)`.

Explanation:

If the graph of function y=f(x) is vertically stretched by a scale factor of 'k', then the new function will be :

`Y=kf(x)`

The given function :
`f(x)=2^x`

If the given function vertically stretched by a scale factor of '3', then the new function will be :

`Y=3f(x)=3(2^x)`

Hence, the correct option is
`C. f(x) = 3(2^x)`.