Question

Which function is represented by the graph?

Answer 1

Answer:

f(x) = |x + 1| – 3

Step-by-step explanation:

The given graph is a transformed absolute value function.

The parent function is

$g(x) = |x|$

The graph is obtained by shifting, g(x) from the origin (0,0) to (-1,-3).

The transformed function is of the form:

$f(x) = |x - h| + k$

Where (h,k) is the vertex.

We substitute h=-1 and k=-3 to get:

$f(x) = |x - - 1| + - 3$

When we simplify we get:

$f(x) = |x + 1| - 3$