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

Answer:

The equation of the transformation is given as:

y=$y=\dfrac{1}{5}(-x)^3=\dfrac{-x^3}{5}$

Step-by-step 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=$y=\dfrac{1}{5}(-x)^3=\dfrac{-x^3}{5}$