document.write( "Question 1171330: 2.) NASA is designing a new satellite to go on the international space station. The satellite disk is the shape of a parabola. The satellite will be attached to the station on a pole and will place the vertex of the satellite 4 feet away from the surface of the station. The receiver is to be positioned 7 feet above the roof. Write an equation that best models the parabolic cross section of the of the satellite dish. \n" ); document.write( "

Algebra.Com's Answer #796293 by greenestamps(13200) $\"\"$ $\"About$

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\n" ); document.write( "The vertex form of the equation of a parabola is

\n" ); document.write( " $\"y+=+%281%2F%284p%29%29%28x-h%29%5E2%2Bk\"$

\n" ); document.write( "where (h,k) is the vertex and p is the directed distance from the vertex to the focus.

\n" ); document.write( "We can (arbitrarily) use the foot of the pole as the origin of our coordinate system; then the vertex is at (0,4).

\n" ); document.write( "The receiver is at the focus; it is at (0,7), so p, the distance from the vertex to the focus, is 3.

\n" ); document.write( "Then the equation is

\n" ); document.write( " $\"y+=+%281%2F12%29x%5E2%2B4\"$

\n" ); document.write( " \n" ); document.write( "

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