document.write( "Question 983852: What is the standard equation of the parabola with given: vertices (2,5) parallel to x-axis and passes through (7,1) \n" ); document.write( "

Algebra.Com's Answer #604767 by Timnewman(323) $\"\"$ $\"About$

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Hi dear,
\n" ); document.write( " $\"%28y-k%29%5E%282%29=%284%2Aa%29%2A%28x-h%29\"$ is the equation of a parabola.
\n" ); document.write( "since the parabola pass through the (7,1),
\n" ); document.write( "then substitute the point in the equation above.
\n" ); document.write( " $\"%281-5%29%5E%282%29=%284%2Aa%29%2A%287-2%29\"$
\n" ); document.write( "a=4/5
\n" ); document.write( "Also the standard equation of a parabola is given by
\n" ); document.write( " $\"%28y-k%29%5E%282%29=%284%2Aa%29%2A%28x-h%29\"$
\n" ); document.write( "where (h,k) is the coordinate of it's vertice.
\n" ); document.write( "If a=4/5
\n" ); document.write( " (h,k)=(2,5)
\n" ); document.write( "substitute the above in the standard equation and get
\n" ); document.write( " $\"%28y-5%29%5E2=%2816%2F5%29%2A%28%28x-2%29%2F1%29\"$ \n" ); document.write( "

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