document.write( "Question 165016: f(x)=1/4(x+3)^2+8\r
\n" );
document.write( "\n" );
document.write( "find the vertex, the line of symmetry, and the maximum or minimum value of F(x). Graph the function. \r
\n" );
document.write( "
\n" );
document.write( "
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( "Is this correct\r
\n" );
document.write( "\n" );
document.write( "vertex (-3,8)
\n" );
document.write( "line symmetry -3
\n" );
document.write( "Maximum/minimum value 8
\n" );
document.write( "Minimum\r
\n" );
document.write( "\n" );
document.write( "I do not know how to graph the function. \n" );
document.write( "
Algebra.Com's Answer #121642 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! This site describes it quite nicely: \n" ); document.write( "http://www.mathwarehouse.com/geometry/parabola/standard-and-vertex-form.php \n" ); document.write( ". \n" ); document.write( "Standard vertex form of a parabola: \n" ); document.write( "y= a(x-h)^2+k \n" ); document.write( ". \n" ); document.write( "Your problem: \n" ); document.write( "f(x)=1/4(x+3)^2+8 \n" ); document.write( "find the vertex, the line of symmetry, and the maximum or minimum value of F(x). Graph the function. \n" ); document.write( ". \n" ); document.write( "Since 'a' is 1/4 (POSITIVE) -- since it is \"positive\" think of a \"happy face\" (a smile) indicating that the parabola opens upward (U) -- therefore, the vertex will be at the MINIMUM. \n" ); document.write( ". \n" ); document.write( "You had: \n" ); document.write( "vertex (-3,8) (YES!) \n" ); document.write( "line symmetry -3 (YES!) \n" ); document.write( "Minimum value 8 \n" ); document.write( ". \n" ); document.write( "As for graphing the parabola, this site describes it quite well: \n" ); document.write( "http://a-s.clayton.edu/garrison/math%200099/parabola.htm \n" ); document.write( " \n" ); document.write( " |