Question

If you vertically stretch the exponential function f(x)=2^x by a factor of 5 what is the equation of the new function

Answer 1

Just mult. both sides of that equation by 5:

g(x) = 5*2^x

Answer 2

Answer: $f(x)=5*2^{x}$

Step-by-step explanation: When we multiply a function by a positive constant, we get a function whose graph is stretched or compressed vertically in relation to the graph of the original function. If the constant is greater than 1, we get a vertical stretch; if the constant is between 0 and 1, we get a vertical compression. So,if we want to stretch the given function by a factor of 5, we just need to multiply such function by 5:

Original function:

$f(x)=2^{x}$

Stretched function:

$f(x)=5*2^{x}$