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-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 :

Given

The parent function,

[tex]f(x)=|x|[/tex]

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

To find:

The equation of the new function.

Explanation:

It is given that,

[tex]f(x)=|x|[/tex]

That implies,

Since, f(x) shift 5 units right.

Then,

[tex]\begin{gathered} h(x)=f(x-5) \\ =|x-5| \end{gathered}[/tex]

Also, if it again shift 7 units down.

Then,

[tex]\begin{gathered} g(x)=h(x)-7 \\ =|x-5|-7 \end{gathered}[/tex]

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

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