Question

unit test
unit test complete
1 2 3 4 5 6 7
time remaining
01:55:16
which equation represents the function graphed on the
coordinate plane?
○ ( g(x) = |x + 1| + 3 )
○ ( g(x) = |x + 3| - 1 )
○ ( g(x) = |x - 1| + 3 )
○ ( g(x) = |x + 3| + 1 )
mark this and return
save and exit next submit

Explanation:

Step1: Find vertex of the graph

The vertex of the V-shaped graph is at (-3, -1).

Step2: Recall vertex form of absolute value function

The vertex form is $g(x) = |x - h| + k$, where (h, k) is the vertex.

Step3: Substitute vertex into the form

Here, h = -3 and k = -1. So $g(x) = |x - (-3)| + (-1) = |x + 3| - 1$.

Answer:

g(x) = |x + 3| - 1