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

Answer 1

`y=3*2^(x)`

Explanation:

A vertical stretch of a function means the output values have changed by a factor of 3 or multiplication by 3. Recall, an exponential function has the basic form

`y=ab^(2)`.

If our equation is
`f(x)=2^x`, then a=1. To stretch it vertically by a factor of 3, we multiply a by 3. So 1(3)=3. The value of a now becomes 3.

`y=3*2^(x)`