document.write( "Question 1180068: An aquarium wants to install a new fish tank with a parabolic glass dome fitted at its bottom to allow visitors to look at the marine life from below. The glass dome will be 60 feet in diameter and will have a depth of 4 feet. Find the equation of the parabolic cross-section of the dome.\r
\n" ); document.write( "\n" ); document.write( "a. y^2=16/30x
\n" ); document.write( "b. y^2=4/15x
\n" ); document.write( "c. y=1/225x^2
\n" ); document.write( "d. y=15/14x^2
\n" ); document.write( "e. y=1/15x^2
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Algebra.Com's Answer #809723 by greenestamps(13203)\"\" \"About 
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\n" ); document.write( "Good luck having a wall of an aquarium with a cross section in the shape of a parabola of the form y^2=ax....!

\n" ); document.write( "We can quickly eliminate answer choices a. and b.

\n" ); document.write( "Consider the vertex of the parabolic cross section to be at (0,0). Then, since the dome has a depth of 4 feet and a width of 60 feet, the parabolic function must have the value 4 at x values of 30 and -30.

\n" ); document.write( "Use the general form of the equation of a parabola with vertex at the origin to quickly find the answer to the problem.

\n" ); document.write( "\"y+=+ax%5E2\"
\n" ); document.write( "\"4+=+a%2830%5E2%29\"

\n" ); document.write( "There is little work left to do from there....

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