The graph of the parent function y = x cubed is horizontally stretched by a factor of One-fifth and reflected over the y-axis. W

Question

4 years ago

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The graph of the parent function y = x cubed is horizontally stretched by a factor of One-fifth and reflected over the y-axis. W

hat is the equation of the transformed function?
A.) y = (5 x) cubed
B.)y = (negative 5 x) cubed
C.)y = (one-fifth x) cubed
D.)y = (negative one-fifth x) cubed

Mathematics

2 answers:

sasho [114] · Answer 1 · 2021-12-23T12:32:51+03:00

Answer: OPTION D.

Step-by-step explanation:

Below are some transformations for a function f(x):

If $-f(x)$ , then the function is reflected over the x-axis.

If $f(-x)$ , then the function is reflected over the y-axis.

If $f(bx)$ and $b>1$ , then the function is horizontally compressed.

If $f(bx)$ and $0 < b$ , then the function is horizontally stretched.

In this case you know that the parent function is:

$y=x^3$

According to the information given in the exercise, the parent function IS horizontally stretched by a factor of $\frac{1}{5}$ and it is also reflected over the y-axis.