document.write( "Question 748054: For each quadratic function, (a) find the vertex, the axis of symmetry, and the maximum or minimum function value and (b) graph the function.
\n" ); document.write( " $\"f%28x%29=1%2F2\"$ $\"x%5E2%2B4x%2B19%2F3\"$ \n" ); document.write( "

Algebra.Com's Answer #455306 by josgarithmetic(39617) $\"\"$ $\"About$

You can put this solution on YOUR website!
This solution will be taken part of the way only:\r
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\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=%281%2F2%29x%5E2%2B4x%2B19%2F3\"$ , complete the square,..
\n" ); document.write( " $\"f%28x%29=%281%2F2%29%2A%28x%5E2%2B8x%2B38%2F3%29\"$
\n" ); document.write( "The term necessary will be $\"%288%2F2%29%5E2=16\"$
\n" ); document.write( " $\"f%28x%29=%281%2F2%29%28x%5E2%2B8x%2B16%2B38%2F3-16%29\"$
\n" ); document.write( " $\"f%28x%29=%281%2F2%29%28%28x%2B4%29%5E2%2B%2838-3%2A16%29%2F3%29\"$
\n" ); document.write( " $\"f%28x%29=%281%2F2%29%28%28x%2B4%29%5E2%2B2%2A%2819-3%2A8%29%2F3%29\"$
\n" ); document.write( " $\"f%28x%29=%281%2F2%29%28%28x%2B4%29%5E2%2B2%2A6%2F3%29\"$
\n" ); document.write( " $\"f%28x%29=%281%2F2%29%28%28x%2B4%29%5E2%2B2%2A2%29\"$
\n" ); document.write( " $\"highlight%28f%28x%29=%281%2F2%29%28x%2B4%29%5E2%2B2%29\"$ \r
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\n" ); document.write( "\n" ); document.write( "Now from the standard form of this function, the vertex, symmetry axis, and knowing that the vertex is either min or max can be read directly from the equation. \r
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\n" ); document.write( "\n" ); document.write( " $\"graph%28300%2C300%2C-10%2C12%2C-10%2C12%2C%281%2F2%29%28x%2B4%29%5E2%2B2%29\"$ \n" ); document.write( "

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