Question

Identify the equation of the parent function, y=x3, that is horizontally stretched by a factor of 1/5 and reflected over the y-axis.

Answer 1

The answer is y= (1/5x)^3
The answer is D

Answer 2

The equation of the transformation is given as:

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

Explanation:

We are equation of the parent function as:

`y=x^3`

We have to find the expression for the transformed function which is formed by the horizontally stretched by a factor of 1/5 and reflected over the y-axis.

We know that horizontal stretch is denoted by:

y(ax) where a<1.

And the reflection over the y-axis transforms the function f(x) into:

f(x) to f(-x)

Hence, the transformation is given by:

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