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

Question

2 years ago

7

the box.
( )

2 answers:

Marina86 [1] · Answer 1 · 2022-01-02T03:22:16+03:00

6 0

Is this what you're needing?

Neko [114] · Answer 2 · 2022-01-02T05:09:43+03:00

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)