Question

Given h(x) = |x+3| -5

Answer 1

Answer:

The parent function f(x) is equal to $f\left(x\right)=\left|x\right|$

The translations is 3 units to the left and 5 units down

Step-by-step explanation:

we have

$h\left(x\right)=\left|x+3\right|-5$

The vertex of the function h(x) is the point (-3,-5)

we know that the parent function f(x) is equal to

$f\left(x\right)=\left|x\right|$

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