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

Question

Ivenika [448]

3 years ago

12

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

xis.

Mathematics

2 answers:

sdas [7] · Answer 1 · 2022-01-23T13:45:12+03:00

sdas [7]3 years ago

5 0

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

Rama09 [41] · Answer 2 · 2022-01-23T15:09:10+03:00

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