document.write( "Question 318797: Find the vertex, line of symmetry, maximum/minimum and if the graph opens up or down of: f(x)=1/4(x+1)^2+9 \n" ); document.write( "

Algebra.Com's Answer #228199 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
The equation is in vertex form, $\"y=a%28x-h%29%5E2%2Bk\"$ , where (h,k) is the vertex.
\n" ); document.write( "Comparing,
\n" ); document.write( "(h,k)=( $\"-1\"$ , $\"9\"$ )
\n" ); document.write( "The vertex lies on the axis of symmetry,
\n" ); document.write( " $\"x=-1\"$
\n" ); document.write( "The coefficient of the $\"x%5E2\"$ term is positive, so the parabola opens upwards and the minimum for the parabola occurs at the vertex.
\n" ); document.write( " $\"ymin=9\"$
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "

\n" ); document.write( "

\n" );