1. A cross section of a large parabolic satellite dish is modeled by y = x2 /...

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1. A cross section of a large parabolic satellite dish is modeled by y = x2 / 200, ˆ’100 ‰¤ x ‰¤ 100 (see figure). The receiving and transmitting equipment is positioned at the focus. Find the coordinates of the focus.
150 - 200 100 Focus 50 100 -100 -50

2. Each cable of a suspension bridge is suspended (in the shape of a parabola) between two towers (see figure).

30 (-60, 20) (60, 20) 20 10 -60 -40 -20 40 60 -10

(a) Find the coordinates of the focus.
(b) Write an equation that models the cables.

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