Question

On a coordinate plane, an absolute value graph has a vertex at (negative 4, negative 2).
Which equation represents the function graphed on the coordinate plane?

g(x) = |x + 4| – 2
g(x) = |x – 4| – 2
g(x) = |x – 2| – 4
g(x) = |x – 2| + 4

Answer 1

g(x) = |x + 4| − 2

Reason: |x − h| + k has vertex (h, k). With vertex (−4, −2) we get |x − (−4)| + (−2) = |x + 4| − 2.