Translated 9 units right.
g(x)=|x-9|
Reflected in the x- axis.
g(x)=-|x|
Vertically compressed by a factor of 3/4.
[tex]g(x)=\frac{3}{4}|x|[/tex]
Shifted 4 units up.
g(x)=|x|+4
Given
Absolute parent function that is f(x)=|x|
Translation up:
For translation right by 'k' units
f(x) becomes f(x-k)
Translated 9 units right , the new function
[tex]g(x)=f(x-9)=|x-9|\\g(x)=|x-9|[/tex]
Reflect in x axis
f(x)=-f(x)
[tex]g(x)=-|x|[/tex]
Vertically compressed by 'k' factor
f(x) becomes k times f(x)
Vertically compressed by a factor of 3/4.
[tex]g(x)=\frac{3}{4} |x|[/tex]
Shifting up by 'k' units
f(x) becomes f(x) +k
Shift 4 units up
[tex]g(x)=|x|+4[/tex]
Learn more : brainly.com/question/18784552
