The Arecibo Observatory in Puerto Rico was just decommissioned after sustaining a lot of damage, but while it was operating it was one of the most important radio telescopes in the world. It consists of a large parabolic dish made of concrete set into the ground. If it’s about 1000 feet wide at its opening, and the receiver at the focus is suspended about 500 feet above the vertex of the dish: a. Find the equation of the parabola that models the 2-D shape of the dish when viewed from the side. b. If the edge of the dish is at ground level, how far below ground level is the vertex

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