Answer:
f(x) = |x + 1| – 3
Step-by-step explanation:
The given graph is a transformed absolute value function.
The parent function is
[tex]g(x) = |x| [/tex]
The graph is obtained by shifting, g(x) from the origin (0,0) to (-1,-3).
The transformed function is of the form:
[tex]f(x) = |x - h| + k[/tex]
Where (h,k) is the vertex.
We substitute h=-1 and k=-3 to get:
[tex]f(x) = |x - - 1| + - 3[/tex]
When we simplify we get:
[tex]f(x) = |x + 1| - 3[/tex]
