document.write( "Question 1125845: Can you please help me with this problem: Find a function whose graph is a parabola with vertex (3,4) and that passes through the point (1,-8). \n" ); document.write( "

Algebra.Com's Answer #742160 by ikleyn(52787) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "

\r\n" );
document.write( "A parabola with the vertex (3,4) has the form\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    y(x) = .\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The only unknown is the coefficient \"a\".\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "To find it, use the fact that the point (1,-8) lies on the graph.  It gives you an equation\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    -8 = ,   or\r\n" );
document.write( "\r\n" );
document.write( "    -12 = 4a.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Hence,  a =  = -3.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Answer.  The function is  y(x) = .\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" );