Answer:
The parent function f(x) is equal to [tex]f\left(x\right)=\left|x\right|[/tex]
The translations is 3 units to the left and 5 units down
Step-by-step explanation:
we have
[tex]h\left(x\right)=\left|x+3\right|-5[/tex]
The vertex of the function h(x) is the point (-3,-5)
we know that the parent function f(x) is equal to
[tex]f\left(x\right)=\left|x\right|[/tex]
The vertex of the function f(x) is the point (0,0)
so
The rule of the transformation of f(x) to h(x) is equal to
(x,y) -----> (x-3,y-5)
That means ----> The translations is 3 units to the left and 5 units down
