Question

hich could be the graph of f(x) = |x - h| + k if h and k are both positive?

On a coordinate plane, an absolute value graph has a vertex at (2, 1).

On a coordinate plane, an absolute value graph has a vertex at (1, negative 4).

On a coordinate plane, an absolute value graph has a vertex at (negative 3, 2).

On a coordinate plane, an absolute value graph has a vertex at (negative 4, negative 5).

Answer 1

The vertex of f(x)=|x−h|+k is (h,k), so both coordinates must be positive. Only (2, 1) has both coordinates positive — that is the correct choice.