Question 1094384
A building has an entry the shape of a parabolic arch 96 ft high and 18 ft wide at the base.
Find an equation for the parabola if the vertex is put at the origin of the coordinate system.
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That gives 3 points:
(0,0), (-9,-96) and (9,-96)
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Since the vertex is (0,0):
y = -a*x^2
--> -96 = a*81
a = -96/81 = -32/27
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{{{y = -32x^2/27}}} is the parabola