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.

( )

Answer 1

(-6,0)

Explanation:

I hope this helps

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<-6` 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)