document.write( "Question 370262: find the vertex the line of symmetry the maximum and minimum value of the quadratic function. F(x)=x^2-12x-3 \n" ); document.write( "

Algebra.Com's Answer #263934 by Fombitz(32388) $\"\"$ $\"About$

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Complete the square to put the equation into vertex form, $\"y=a%28x-h%29%5E2%2Bk\"$
\n" ); document.write( " $\"f%28x%29=x%5E2-12x-3\"$
\n" ); document.write( " $\"f%28x%29=%28x%5E2-12x%2B36%29-3-36\"$
\n" ); document.write( " $\"f%28x%29=%28x-2%29%5E2-39\"$
\n" ); document.write( "The vertex is ( $\"2\"$ , $\"-39\"$ ).
\n" ); document.write( "The vertex lies on the axis of symmetry $\"x=2\"$
\n" ); document.write( "Since $\"a=1%3E0\"$ then the parabola opens upwards and the value at the vertex is the function minimum.
\n" ); document.write( " $\"y%5Bmin%5D=-39\"$
\n" ); document.write( " \n" ); document.write( "

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