document.write( "Question 108823: Identify the axis of symmetry, create a suitable table of values and sketch the graph(including axis of symmetry). Y=x^2-5x+3\r
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Algebra.Com's Answer #79366 by MathLover1(20849) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"y=x%5E2-5x%2B3\"$ \r
\n" ); document.write( "\n" ); document.write( "Since $\"b+=+-5\"$ , $\"-b\"$ will be $\"5\"$ \r
\n" ); document.write( "\n" ); document.write( "Then\r
\n" ); document.write( "\n" ); document.write( "Axis of symmetry: $\"x+=+-b%2F2a\"$ Е..=>ЕЕ \r
\n" ); document.write( "\n" ); document.write( "Axis of Symmetry: $\"x+=+5%2F2+=+2%281%2F2%29\"$ ЕЕor use decimalЕ $\"x+=+2.5\"$ \r
\n" ); document.write( "\n" ); document.write( "This is $\"one\"$ point through what the axis of symmetry passes. You need one more point to draw that line, and that point has to be a $\"vertex\"$ . Substitute $\"5%2F2\"$ for $\"x\"$ in the $\"y+=+x%5E2+-5x+%2B+3\"$ and find $\"y\"$ .\r
\n" ); document.write( "\n" ); document.write( " $\"y+=+x%5E2+-5x+%2B+3\"$
\n" ); document.write( " $\"y+=+%282.5%29%5E2+-5%282.5%29+%2B+3\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"y+=+6.25+-+12.5+%2B+3\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"y+=-3.25\"$ \r
\n" ); document.write( "\n" ); document.write( "So, the vertex is: ( $\"2.5\"$ , $\"-3.25\"$ )\r
\n" ); document.write( "\n" ); document.write( "The graph will be a curve called a parabola\r
\n" ); document.write( "\n" ); document.write( "Here is the table:
\n" ); document.write( " x | y
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\n" ); document.write( " 0 | 3
\n" ); document.write( " 1 |-1
\n" ); document.write( " 2.5 |-3.25
\n" ); document.write( " 3 |-3
\n" ); document.write( " 4 |-1
\n" ); document.write( " 5 | 3
\n" ); document.write( " 6 | 9\r
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Solved by pluggable solver: PLOT any graph

Graphing function $\"x%5E2-5x%2B3\"$ :
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\n" ); document.write( " $\"graph%28+600%2C+600%2C+-7%2C+7%2C+-5%2C+5%2C+x%5E2-5x%2B3+%29\"$

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