SOLUTION: The drama club is building a backdrop using arches whose shape can be represented by the function f(x) = -x^2 + 2x + 8, where x is the length in feet. The area under each arch is t

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> SOLUTION: The drama club is building a backdrop using arches whose shape can be represented by the function f(x) = -x^2 + 2x + 8, where x is the length in feet. The area under each arch is t      Log On


   



Question 1038138: The drama club is building a backdrop using arches whose shape can be represented by the function f(x) = -x^2 + 2x + 8, where x is the length in feet. The area under each arch is to be covered with fabric.
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What is the length of the segment along the floor of each arch?
3 feet
4 feet
6 feet
8 feet

Answer by Alan3354(69443) About Me  (Show Source):
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The drama club is building a backdrop using arches whose shape can be represented by the function f(x) = -x^2 + 2x + 8, where x is the length in feet. The area under each arch is to be covered with fabric.
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Find the 2 points where f(x) = 0, the zeroes of the function.
f(x) = -x^2 + 2x + 8 = 0
(-x + 4)*(x + 2) = 0
--> x = -2 & x = 4
--> 6 feet