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-coordi…

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asked Nov 13, 2018 138k views

2 Answers

Zachary Yates · Answer 1 · 2018-11-18T14:32:02+0000

we have

y=-x^2-6x+16

using a graph tool

see the attached figure

The vertex of the quadratic equation is the point
(-3,25)

That means that the maximum height of an arch is equal to
$25\ units$

The zeroes of the function are the points
$(-8,0)\ and\ (2,0)$

That means that the width of the arch at its base is equal to difference between the zeroes

$=(2-(-8))=2+8=10\ units$

therefore

the answer is

The width of the arch at its base is equal to the difference between the zeroes