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.
