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)`