SOLUTION: An arch is in the shape of a parabola. It has a span of 348 feet and a maximum height of 29 feet. Find the equation of the parabola. Determine the distance from the center at whi

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Question 1198215: An arch is in the shape of a parabola. It has a span of 348 feet and a maximum height of 29 feet.
Find the equation of the parabola.
Determine the distance from the center at which the height is 11 feet.

Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!
the parabola is open downward and its origin is at the point (,),
vertex is at (,)
the -intercepts are feet away from the origin at (,) (,)

use three points above


since vertex at (,)



so far your equation is


use (,)



..........eq1

use (,)


..........eq2

then






go to

..........eq1 plug in




your equation is:





then find when





the distance from the center at which the height is feet is


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