Question

On a coordinate plane, an absolute value graph has a vertex at (1, 3).
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

Answer 1

g(x) = |x – 1| + 3

Reason: y = |x − h| + k has vertex at (h, k). Here h = 1 and k = 3, so g(x) = |x − 1| + 3.