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A. Find the equation of the parabola satisfying the following conditions: 1. vertex at the origin and focus at (0, -3) 2. vertex at (1, 5) and directrix is the x-axis 3. opens to the left with focus at (4, 3) and one endpoint of the latus rectum is (4, 7) B. Problem Solving A satellite dish in the shape of a paraboloid is 10 ft across, and 4 it deep at its vertex. How far is the receiver from the vertex, if it is placed at the focus? (Round off your answer to 2 decimal places