Question

HELP ME PLEASE I JUST WANT TO GET THE CREDIT I DIDNT GET TO GRADUATE PLEASE HELP ME

Answer 1

Given the parent function;

`y=x^3`

When reflected over the y-axis, this becomes;

`y=-x^3`

Note that reflecting over the y axis can be explained like folding over the graph page along the vertical line (y-axis is the vertical line), which means all values would flip over from negative to positive and positive to negative depending on the original equation.

Next we are told that that the function is horizontally stretched by a factor of 1/5.

This means the x-value of the function is multiplied by 1/5.

We now have the following;

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

ANSWER:

The parent function

`y=x^3`

After a horizontal stretch by a factor of 1/5 and a reflection over the y-axis now becomes;

`y=(-(1)/(5)x)^3`

The last option is the correct answer.