document.write( "Question 1119532: Find the equation of parabola, given that v(0,0), F on x-axis passes through (-2,6) \n" ); document.write( "

Algebra.Com's Answer #735173 by greenestamps(13215) $\"\"$ $\"About$

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\n" ); document.write( "Given that the vertex is (0,0) and the focus is on the x-axis, the equation of the parabola is

\n" ); document.write( " $\"x+=+ay%5E2\"$

\n" ); document.write( "The value of a is determined by the given point on the parabola, (-2,6):

\n" ); document.write( " $\"-2+=+a%286%5E2%29\"$
\n" ); document.write( " $\"-2+=+36a\"$
\n" ); document.write( " $\"-1%2F18+=+a\"$

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

\n" ); document.write( " $\"x+=+%28-1%2F18%29y%5E2\"$ \n" ); document.write( "

\n" );