document.write( "Question 868307: write the function f(x)= -5^2 + 4x -3 in the form k + a(x+h)^2 then (a) determine the maximum/minimum value of f(x) and (b) state the value of x when the maximum/minimum value occurs \n" ); document.write( "

Algebra.Com's Answer #523513 by josgarithmetic(39618) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"f%28x%29=-5%28x%5E2-%284%2F5%29x%2B3%2F5%29\"$
\n" ); document.write( " $\"f%28x%29=-5%28x%5E2-%284%2F5%29x%2B%282%2F5%29%5E2%2B3%2F5-%282%2F5%29%5E2%29\"$ , completing the square
\n" ); document.write( " $\"f%28x%29=-5%28%28x-2%2F5%29%5E2%2B%283%2F5-4%2F25%29%29\"$
\n" ); document.write( " $\"f%28x%29=-5%28%28x-2%2F5%29%5E2%2B%2815%2F25-4%2F25%29%29\"$
\n" ); document.write( " $\"f%28x%29=-5%28%28x-2%2F5%29%5E2%2B11%2F25%29\"$
\n" ); document.write( "Distribute the factor over the sum.
\n" ); document.write( " $\"highlight%28f%28x%29=-5%28x-2%2F5%29%5E2-11%2F5%29\"$ , in essence, in the form you wanted.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Question parts (a) and (b) are about the vertex.
\n" ); document.write( "Vertex is (2/5, -11/5). \n" ); document.write( "

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