document.write( "Question 1113423: Find the formula for the quadratic function whose graph has a vertex of (1,2) and passes through the point (-1,-6) where a is unknown.\r
\n" ); document.write( "\n" ); document.write( "Use the coordinates of the second point to solve for the leading coefficient a\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #728479 by MathTherapy(10552)\"\" \"About 
You can put this solution on YOUR website!
Find the formula for the quadratic function whose graph has a vertex of (1,2) and passes through the point (-1,-6) where a is unknown.\r
\n" ); document.write( "\n" ); document.write( "Use the coordinates of the second point to solve for the leading coefficient a
\n" ); document.write( "
Substitute ALL 4 values into the vertex form of a quadratic function: \"matrix%281%2C3%2C+f%28x%29%2C+%22=%22%2C+a%28x+-+h%29%5E2+%2B+k%29\" ======> \"matrix%281%2C3%2C+y%2C+%22=%22%2C+a%28x+-+h%29%5E2+%2B+k%29\". 
\n" ); document.write( "That is, substitute (1, 2) for (h, k), and (- 1, - 6) for (x, y). You will then get the value of the 5th variable, \"a.\"
\n" ); document.write( "Then substitute 3 values: (1, 2) for (h, k), and value of \"a\" into the vertex form of a quadratic function, or \"matrix%281%2C3%2C+f%28x%29%2C+%22=%22%2C+a%28x+-+h%29%5E2+%2B+k%29\".
\n" ); document.write( "That's your quadratic function! \n" ); document.write( "
\n" );