Question

If you vertically compress the linear parent function, f(x) = x, by a factor of 2,what is the equation of the new function?

Answer 1

When a graph is vertically compressed by a factor of k the parent function is divided by a non zero number k.

When the parent function, f(x)=x is compressed by a factor of 2, the new function can be determined as,

$\begin{gathered} g(x)=\frac{f(x)}{2} \\ =\frac{x}{2} \\ =0.5x \end{gathered}$

Thus, the required new function is 0.5x.