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An engineer designs a satellite dish wit...

An engineer designs a satellite dish with a parabolic cross section . The dish is 5m wide at the opening, and the focus is placed 1.2 m from the vertex.
(a) Position a coordinate system with the origin at the vertex and the x-axis on the parabola 's axis of symmetry and find an equation of the parabola.
(b) find the depth of the satellite dish at the vertex.

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