Question

On a coordinate plane, an absolute value graph has a vertex at (negative 4, negative 10).
Which equation represents the function graphed on the coordinate plane?

g(x) = |x – 4| – 10
g(x) = |x + 4| – 10
g(x) = |x – 10| + 4
g(x) = |x + 10| – 4

Answer 1

The vertex form is g(x) = |x - h| + k with vertex (h,k). For vertex (-4, -10) we have h = -4, k = -10, so

g(x) = |x + 4| - 10.