Question

1The graph of the parent function y - x is horizontally stretched by a factor of 5 and reflected over the y-axis. What isthe equation of the transformed function?O y=(5x)Oy-(-5x)y-- (3)ov-(3)

Answer 1

The strech of graph of function f(x) along horizonatl direction by factor of a result in f(x/a). So equation fo graph after stretch of factor by 1/5 is,

`\begin{gathered} y=(\frac{x^{}}{(1)/(5)})^3 \\ =(5x)^3 \end{gathered}`

The reflection of graph about y axis result change x to -x. So equation is,

`y=(-5x)^3`

So answer is,

`y=(-5x)^3`