Question

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

Answer 1

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

Step-by-step 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 $C. f(x) = 3(2^x)$.