Question

What are the coordinates of the vertex of the graph of f(x)=4|x+6|? Enter your answer as an ordered pair without parentheses in the box.
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Answer 1

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Answer 2

The vertex of the graph $f(x)=4|x+6|$ is the point at which the function changes from decreasing to increasing.

Note that

• for all $x$ the function is decreasing;
• for all $x>-6$ the function is increasing;
• at $x=-6$ the function has zero and this point is the point at which the function changes from decreasing to increasing.

Since at $x=-6$ the function has zero, then $f(-6)=0.$ This means that vertex has coordinates (-6,0).

Answer: (-6,0)