document.write( "Question 1040892: If $t$ is a real number, what is the maximum possible value of the expression $-t^2 + 8t -4$? \n" ); document.write( "

Algebra.Com's Answer #655818 by rothauserc(4718) $\"\"$ $\"About$

You can put this solution on YOUR website!
f(t) = -t^2 + 8t -4 is a parabola that curves downward
\n" ); document.write( ":
\n" ); document.write( "the t value for the vertex is -8 / -2 (-b/2a) = 4
\n" ); document.write( ":
\n" ); document.write( "now substitute t = 4 in f(t)
\n" ); document.write( ":
\n" ); document.write( "f(4) = -16 + 32 - 4 = 12
\n" ); document.write( ":
\n" ); document.write( "*************************************
\n" ); document.write( "the max possible value for f(t) is 12
\n" ); document.write( "*************************************
\n" ); document.write( ":
\n" ); document.write( " \n" ); document.write( "

\n" );