document.write( "Question 1112899: Use the vertex
\n" ); document.write( "(h, k) (-4,-1)
\n" ); document.write( " and a point on the graph
\n" ); document.write( "(x, y) (-6,3)
\n" ); document.write( " to find the general form of the equation of the quadratic function.
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #727920 by ikleyn(52781)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "
\r\n" );
document.write( "From the condition, using the info about the vertex, you can write\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "y = a*(x-(-4))^2 - 1,    or,   which is the same\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "y = a*(x+4)^2 -1,\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "where \"a\" is unknown real coefficient.  To find \"a\", use given condition on another point. It gives you an equation\r\n" );
document.write( "\r\n" );
document.write( "3 = a*((-6)+4)^2 -1,  which is equivalent to\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "4 = a*2^2,   or   4 = 4a.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Hence,  a= 1,   and your quadratic function is   y = (x+4))^2 - 1.\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );