SOLUTION: The Rainbow Bridge is Utah, is a natural arch that is approximately parabolic in shape. The arch is about 88 m high. It is 84 m across at its base. Determine a quadratic relation,

Algebra ->  Test -> SOLUTION: The Rainbow Bridge is Utah, is a natural arch that is approximately parabolic in shape. The arch is about 88 m high. It is 84 m across at its base. Determine a quadratic relation,       Log On


   

Question 380394: The Rainbow Bridge is Utah, is a natural arch that is approximately parabolic in shape. The arch is about 88 m high. It is 84 m across at its base. Determine a quadratic relation, in factored form, that models the shape of the arch.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Pick a coordinate system centered at the middle of the arch.
y%2844%29=0
y%28-44%29=0
y%280%29=88
You can use the vertex form,
y=-a%28x-0%29%5E2%2B88
Use the boundary values to determine a.
0=-a%2844-0%29%5E2%2B88
a%2844%29%5E2=88
a=88%2F%2844%29%2A2
a=1%2F22
.
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highlight%28y=-%281%2F22%29x%5E2%2B88%29