Question

Which graph represents the function f(x) = |x| – 4?

On a coordinate plane, an absolute value graph has a vertex at (0, 4).
On a coordinate plane, an absolute value graph has a vertex at (negative 4, 0).
On a coordinate plane, an absolute value graph has a vertex at (0, negative 4).
On a coordinate plane, an absolute value graph has a vertex at (4, 0).

Answer 1

The vertex is at (0, −4).

Reason: |x| has vertex (0,0); f(x)=|x|−4 shifts the graph down 4 units, so the vertex becomes (0,−4).