Answer:
Transformation: Reflect across x-axis and then shift 5 unit down
Step-by-step explanation:
We are given parent function, f(x)=|x|
We need to made by translation, f(x)=-|x|-5
It is absolute function.
Here we have two transformation.
f(x)=|x| changes to f(x)=-|x|
f(x) will reflect about x-axis because y value change.
If we compare both the function. -5 subtract from f(x)
If f(x) → f(x) + a then
f(x) shift vertical
If a>0 then shift up
If a<0 then shift down.
Thus, f(x) will shift 5 units down from parent function.
We can see in graph. Please see the attachment for graph.
