Algebra.Com's Answer #281077 by MathLover1(20851)![\"\"](\"/images/stars/stars-13.gif\")  
You can put this solution on YOUR website!
The x-coordinate of the vertex of a parabola in the form  is given by  .\r
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( "The y-coordinate is then  .\r
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( "The line of symmetry passes through the vertex, so the equation is  .\r
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( "The maximum or minimum is the value of the function at . Whether it is a maximum or minimum depends on whether the parabola opens up or down. If it is concave up (makes a valley rather than a hill), the point is a minimum, otherwise it is a maximum. You can tell which way the parabola opens by the sign on the lead coefficient. if  , it is concave down, if  , it is concave up, and, of course, if  you don't have a parabola at all.\r
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( "Let's look at your specific problem:\r
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( " \r
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( "First thing to note is that , so this is a concave down parabola and the vertex is a  .\r
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( " , so the x-coordinate of the vertex is  and the equation of the line of  is  .\r
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( "The value of the function at , denoted for your problem is  \r
\n" );
document.write( "\n" );
document.write( "So the y-coordinate of the vertex and the value of  is  \r
\n" );
document.write( "
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( " \r
\n" );
document.write( "
\n" );
document.write( "
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( " \n" );
document.write( " |