Given a parent function:
[tex]y=2^x[/tex]If we multiply the function by a constant greater than one, for example 3, the equation becomes:
[tex]\begin{gathered} y=3(2)^x \\ y=6^x \end{gathered}[/tex]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:
[tex]y=\frac{1}{2}(2^x)[/tex]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
