document.write( "Question 1126203: Complete the general form equation of the parabola that passes through
\n" ); document.write( "(2,−21)with vertex at (−1,−3)\r
\n" ); document.write( "\n" ); document.write( "Enter the quadratic expression in general form,
\n" ); document.write( "ax^2+bx+c.\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #742533 by MathTherapy(10552)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "Complete the general form equation of the parabola that passes through
\n" ); document.write( "(2,−21)with vertex at (−1,−3)\r
\n" ); document.write( "\n" ); document.write( "Enter the quadratic expression in general form,
\n" ); document.write( "ax^2+bx+c.
\n" ); document.write( "
Vertex from: \"matrix%281%2C3%2C+y%2C+%22=%22%2C+a%28x+-+h%29%5E2+%2B+k%29\"
\n" ); document.write( "\"matrix%281%2C3%2C+-+21%2C+%22=%22%2C+a%282+-+-+1%29%5E2+-+3%29\" ------- Substituting (2, - 21) for (x, y) and (- 1, - 3) for (h, k)
\n" ); document.write( "- 21 = 9a - 3
\n" ); document.write( "- 21 + 3 = 9a
\n" ); document.write( "- 18 = 9a
\n" ); document.write( "\"matrix%281%2C5%2C+a%2C+%22=%22%2C+%28-+18%29%2F9%2C+%22=%22%2C+-+2%29\"
\n" ); document.write( "\"matrix%281%2C3%2C+y%2C+%22=%22%2C+-+2%28x+%2B+1%29%5E2+-+3%29\" ------- Substituting - 2 for a, and (- 1, - 3) for (h, k)
\n" ); document.write( "\"matrix%281%2C3%2C+y%2C+%22=%22%2C+-+2%28x%5E2+%2B+2x+%2B+1%29+-+3%29\"
\n" ); document.write( " \n" ); document.write( "
\n" );