Question

What are the coordinates of the vertex of the graph of f(x)=2|x−3|f(x)=2|x−3|? Enter your answer as an ordered pair without parentheses in the box.

Answer 1

Function is always positive, except for f(x)=0. Therefore, f(x)=0 is the vertex.

$f(x)=0 \\2|x+3|=0 \\|x+3|=0 \\x+3=0 \\x=-3$

The vertex is at (-3,0).