Question

-If you apply the changes below to the absolute value parent function, f(x) = |xl,what is the equation of the new function?• Shift 5 units right.• Shift 7 units down.O A. g(x) = 5x - 71 - 5B. g(x) = 5x - 7] + 5C. g(x) = 5x + 5) - 7O D. g(x) = (x - 51 - 7

Answer 1

Given

The parent function,

`f(x)=|x|`

Also, f(x) shift 5 units right and shift 7 units down.

To find:

The equation of the new function.

Step-by-step explanation:

It is given that,

`f(x)=|x|`

That implies,

Since, f(x) shift 5 units right.

Then,

`\begin{gathered} h(x)=f(x-5) \\ =|x-5| \end{gathered}`

Also, if it again shift 7 units down.

Then,

`\begin{gathered} g(x)=h(x)-7 \\ =|x-5|-7 \end{gathered}`

Hence, the answer is option D) g(x) = |x-5|-7.