Answer:
The equation of the transformation is given as:
y=[tex]y=\dfrac{1}{5}(-x)^3=\dfrac{-x^3}{5}[/tex]
Step-by-step explanation:
We are equation of the parent function as:
[tex]y=x^3[/tex]
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=[tex]y=\dfrac{1}{5}(-x)^3=\dfrac{-x^3}{5}[/tex]
