SOLUTION: Can you help with: The main cables of a suspension bridge are ideally parabolic. The cables over a bridge that is 400 feet long are attached to towers that are 100 feet tall. The

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Question 927274: Can you help with: The main cables of a suspension bridge are ideally parabolic. The cables over a bridge that is 400 feet long are attached to towers that are 100 feet tall. The lowest point of the cable is 40 feet above the bridge.
a. Find the coordinates of the vertex and the tops of the towers if the bridge represents the x-axis and the axis of symmetry is the y-axis
b. Find an equation that can be used to model the cables.

Answer by brysca(112) About Me  (Show Source):
You can put this solution on YOUR website!
solution posted below
.
hope this helps!
Also, to state your final answer in part b, substitute k back in to get a final equation of
y=%283%2F2000%29%2A%28x%29%5E2%2B40
+graph%28+500%2C500%2C+-200%2C+200%2C+0%2C+100%2C+%283%2F2000%29%2A%28x%5E2%29%2B40%29+