document.write( "Question 329083: find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function, and graph the function. f(x)=4x^2-40x+104 \n" ); document.write( "

Algebra.Com's Answer #235776 by Fombitz(32388) $\"\"$ $\"About$

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Complete the square to convert to vertex form, $\"y=a%28x-h%29%5E2%2Bk\"$ where (h,k) is the vertex.
\n" ); document.write( " $\"f%28x%29=4x%5E2-40x%2B104\"$
\n" ); document.write( " $\"f%28x%29=4%28x%5E2-10x%29%2B104\"$
\n" ); document.write( " $\"f%28x%29=4%28x%5E2-10x%2B25%29%2B104-4%2825%29\"$
\n" ); document.write( " $\"f%28x%29=4%28x-5%29%5E2%2B4\"$
\n" ); document.write( "Comparing to the equation above,
\n" ); document.write( "(h,k)=(5,4)
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\n" ); document.write( "The vertex lies on the axis of symmetry, $\"x=5\"$
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\n" ); document.write( "The min or max value occurs at the vertex.
\n" ); document.write( "Since the coefficient of the $\"x%5E2\"$ term is positive, the parabola opens upwards and the vertex value is a minimum.
\n" ); document.write( " $\"ymin=4\"$
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