Answer:
First transformation:
f(x) is shifted left side by 4 units
Second transformation:
f(x) is shifted downward by 1 unit
Third transformation:
f(x) is reflected about x-axis
Step-by-step explanation:
We are given
parent function as
[tex]f(x)=|x|[/tex]
translated function is
[tex]g(x)=-|x+4|-1[/tex]
First transformation:
We can see that there is x+4 in place of x
so, f(x) is shifted left side by 4 units
Second transformation:
1 is subtracted to y-value
so, f(x) is shifted downward by 1 unit
Third transformation:
-1 is multiplied to y-value
so, f(x) is reflected about x-axis
