document.write( "Question 323970: Determine whether f(x)= -5x^2 - 10x + 6 has a maximum of minimum value and find that value. \n" ); document.write( "

Algebra.Com's Answer #231852 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Convert to vertex form, $\"y=a%28x-h%29%5E2%2Bk\"$ by completing the square.
\n" ); document.write( " $\"f%28x%29=-5x%5E2-10x+%2B+6\"$
\n" ); document.write( " $\"f%28x%29=-5%28x%5E2%2B2x%29%2B6\"$
\n" ); document.write( " $\"f%28x%29=-5%28x%5E2%2B2x%2B1%29%2B6%2B5\"$
\n" ); document.write( " $\"f%28x%29=-5%28x%2B1%29%5E2%2B11\"$
\n" ); document.write( "The vertex occurs at (-1,11).
\n" ); document.write( "The coefficient for the $\"x%5E2\"$ term is negative and the parabola opens downward, the value at the vertex is the maximum.
\n" ); document.write( " $\"ymax=11\"$
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "

\n" ); document.write( "

\n" );