Question

How do you know when it’s a stretch or compression?

Answer 1

Given a parent function:

`y=2^x`

If we multiply the function by a constant greater than one, for example 3, the equation becomes:

`\begin{gathered} y=3(2)^x \\ y=6^x \end{gathered}`

The function is stretched by a factor of 3. It gets closer to the y-axis.

Otherwise, if we multiply the original function less than one but greater than zero, for example, 1/2, the function becomes:

`y=(1)/(2)(2^x)`

The function is compressed by a factor of 1/2. The graph gets closer to the x-axis.

To summarize, if the factor is greater than 1, it is stretched.

If the factor is g