SOLUTION: The height of an arch is modeled by the equation y=-x^2-6x+16. Which of the following gives the width of the arch at its base? the y-coordinate of the vertex double the x-coordina

Question 1011493: The height of an arch is modeled by the equation y=-x^2-6x+16. Which of the following gives the width of the arch at its base? the y-coordinate of the vertex double the x-coordinate of the vertex the y-intercept of the equation the difference between the zeroes
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
At the base , so

I can see that:

The difference in these roots is:

The width of the arch is 10
-------------------------
The center of the arch is units
from the roots, so

and

so, the x-coordinate of the arch's center is

and

The peak of the arch is at ( -3,16 )

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