Question

Which graph represents the function p(x) = |x – 1|?

On a coordinate plane, an absolute value graph has a vertex at (0, 1).

On a coordinate plane, an absolute value graph has a vertex at (negative 1, 0).

On a coordinate plane, an absolute value graph has a vertex at (0, negative 1).

On a coordinate plane, an absolute value graph has a vertex at (1, 0).

Answer 1

The vertex of p(x) = |x − 1| is at (1, 0). So the correct graph is the one with the vertex at (1, 0).

(Reason: |x − h| has its vertex at (h, 0); here h = 1.)