document.write( "Question 1014028: Write an equation for a graph that is the set of points in the plane that are equidistant from the point F(6,0) and the line x = -6. \n" ); document.write( "

Algebra.Com's Answer #630339 by Alan3354(69443) $\"\"$ $\"About$

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Write an equation for a graph that is the set of points in the plane that are equidistant from the point F(6,0) and the line x = -6.
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\n" ); document.write( "For point (x,y):
\n" ); document.write( "Distance to x = -6 is x+6
\n" ); document.write( "Distance to (6,0) = $\"sqrt%28%28x-6%29%5E2+%2B+y%5E2%29\"$
\n" ); document.write( "---
\n" ); document.write( " $\"sqrt%28%28x-6%29%5E2+%2B+y%5E2%29+=+x%2B6\"$
\n" ); document.write( " $\"%28x-6%29%5E2+%2B+y%5E2+=+x%5E2+%2B+12x+%2B+36\"$
\n" ); document.write( " $\"x%5E2+-+12x+%2B+36+%2B+y%5E2+=+x%5E2+%2B+12x+%2B+36\"$
\n" ); document.write( "y^2 = 24x
\n" ); document.write( "or x = y^2/24
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