Question

On a coordinate plane, an absolute value graph has a vertex at (0, 2.5).
Which function is represented by the graph?

g(x) = |x + 2.5|
g(x) = |x| + 2.5
g(x) = |x – 2.5|
g(x) = |x| – 2.5

Answer 1

g(x) = |x| + 2.5

Reason: The vertex of y = |x - h| + k is at (h, k). Here the vertex (0, 2.5) corresponds to h = 0 and k = 2.5, so g(x) = |x| + 2.5.