document.write( "Question 147611: Graph y=x2-2x-2
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Algebra.Com's Answer #107981 by jim_thompson5910(35256) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( "Jump to Table\r
\n" ); document.write( "\n" ); document.write( "Jump to Graph\r
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\n" ); document.write( "\n" ); document.write( "In order to graph $\"y=x%5E2-2x-2\"$ , we need to plot some points.\r
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\n" ); document.write( "\n" ); document.write( "Let's find y when $\"x=-2\"$ :\r
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\n" ); document.write( "\n" ); document.write( " $\"y=x%5E2-2x-2\"$ Start with the given equation.\r
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\n" ); document.write( "\n" ); document.write( " $\"y=%28-2%29%5E2-2%28-2%29-2\"$ Plug in $\"x=-2\"$ .\r
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\n" ); document.write( "\n" ); document.write( " $\"y=1%284%29-2%28-2%29-2\"$ Square $\"-2\"$ to get $\"4\"$ .\r
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\n" ); document.write( "\n" ); document.write( " $\"y=4-2%28-2%29-2\"$ Multiply $\"1\"$ and $\"4\"$ to get $\"4\"$ .\r
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\n" ); document.write( "\n" ); document.write( " $\"y=4%2B4-2\"$ Multiply $\"-2\"$ and $\"-2\"$ to get $\"4\"$ .\r
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\n" ); document.write( "\n" ); document.write( " $\"y=6\"$ Combine like terms.\r
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\n" ); document.write( "\n" ); document.write( "So if $\"x=-2\"$ , then $\"y=6\"$ .\r
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\n" ); document.write( "\n" ); document.write( "Let's find y when $\"x=-1\"$ :\r
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\n" ); document.write( "\n" ); document.write( " $\"y=x%5E2-2x-2\"$ Start with the given equation.\r
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\n" ); document.write( "\n" ); document.write( " $\"y=%28-1%29%5E2-2%28-1%29-2\"$ Plug in $\"x=-1\"$ .\r
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\n" ); document.write( "\n" ); document.write( " $\"y=1%281%29-2%28-1%29-2\"$ Square $\"-1\"$ to get $\"1\"$ .\r
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\n" ); document.write( "\n" ); document.write( " $\"y=1-2%28-1%29-2\"$ Multiply $\"1\"$ and $\"1\"$ to get $\"1\"$ .\r
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\n" ); document.write( "\n" ); document.write( " $\"y=1%2B2-2\"$ Multiply $\"-2\"$ and $\"-1\"$ to get $\"2\"$ .\r
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\n" ); document.write( "\n" ); document.write( " $\"y=1\"$ Combine like terms.\r
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\n" ); document.write( "\n" ); document.write( "So if $\"x=-1\"$ , then $\"y=1\"$ .\r
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\n" ); document.write( "\n" ); document.write( "Let's find y when $\"x=0\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"y=x%5E2-2x-2\"$ Start with the given equation.\r
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\n" ); document.write( "\n" ); document.write( " $\"y=%280%29%5E2-2%280%29-2\"$ Plug in $\"x=0\"$ .\r
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\n" ); document.write( "\n" ); document.write( " $\"y=1%280%29-2%280%29-2\"$ Square $\"0\"$ to get $\"0\"$ .\r
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\n" ); document.write( "\n" ); document.write( " $\"y=0-2%280%29-2\"$ Multiply $\"1\"$ and $\"0\"$ to get $\"0\"$ .\r
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\n" ); document.write( "\n" ); document.write( " $\"y=0%2B0-2\"$ Multiply $\"-2\"$ and $\"0\"$ to get $\"0\"$ .\r
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\n" ); document.write( "\n" ); document.write( " $\"y=-2\"$ Combine like terms.\r
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\n" ); document.write( "\n" ); document.write( "So if $\"x=0\"$ , then $\"y=-2\"$ .\r
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\n" ); document.write( "\n" ); document.write( "Let's find y when $\"x=1\"$ :\r
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\n" ); document.write( "\n" ); document.write( " $\"y=%281%29%5E2-2%281%29-2\"$ Plug in $\"x=1\"$ .\r
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\n" ); document.write( "\n" ); document.write( " $\"y=1%281%29-2%281%29-2\"$ Square $\"1\"$ to get $\"1\"$ .\r
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\n" ); document.write( "\n" ); document.write( " $\"y=1-2%281%29-2\"$ Multiply $\"1\"$ and $\"1\"$ to get $\"1\"$ .\r
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\n" ); document.write( "\n" ); document.write( " $\"y=1-2-2\"$ Multiply $\"-2\"$ and $\"1\"$ to get $\"-2\"$ .\r
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\n" ); document.write( "\n" ); document.write( " $\"y=-3\"$ Combine like terms.\r
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\n" ); document.write( "\n" ); document.write( "So if $\"x=1\"$ , then $\"y=-3\"$ .\r
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\n" ); document.write( "\n" ); document.write( "Let's find y when $\"x=2\"$ :\r
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\n" ); document.write( "\n" ); document.write( " $\"y=x%5E2-2x-2\"$ Start with the given equation.\r
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\n" ); document.write( "\n" ); document.write( " $\"y=%282%29%5E2-2%282%29-2\"$ Plug in $\"x=2\"$ .\r
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\n" ); document.write( "\n" ); document.write( " $\"y=1%284%29-2%282%29-2\"$ Square $\"2\"$ to get $\"4\"$ .\r
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\n" ); document.write( "\n" ); document.write( " $\"y=4-2%282%29-2\"$ Multiply $\"1\"$ and $\"4\"$ to get $\"4\"$ .\r
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\n" ); document.write( "\n" ); document.write( " $\"y=4-4-2\"$ Multiply $\"-2\"$ and $\"2\"$ to get $\"-4\"$ .\r
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\n" ); document.write( "\n" ); document.write( " $\"y=-2\"$ Combine like terms.\r
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\n" ); document.write( "\n" ); document.write( "So if $\"x=2\"$ , then $\"y=-2\"$ .\r
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\n" ); document.write( "\n" ); document.write( "Let's find y when $\"x=3\"$ :\r
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\n" ); document.write( "\n" ); document.write( " $\"y=x%5E2-2x-2\"$ Start with the given equation.\r
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\n" ); document.write( "\n" ); document.write( " $\"y=%283%29%5E2-2%283%29-2\"$ Plug in $\"x=3\"$ .\r
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\n" ); document.write( "\n" ); document.write( " $\"y=1%289%29-2%283%29-2\"$ Square $\"3\"$ to get $\"9\"$ .\r
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\n" ); document.write( "\n" ); document.write( " $\"y=9-2%283%29-2\"$ Multiply $\"1\"$ and $\"9\"$ to get $\"9\"$ .\r
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\n" ); document.write( "\n" ); document.write( " $\"y=9-6-2\"$ Multiply $\"-2\"$ and $\"3\"$ to get $\"-6\"$ .\r
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\n" ); document.write( "\n" ); document.write( " $\"y=1\"$ Combine like terms.\r
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\n" ); document.write( "\n" ); document.write( "So if $\"x=3\"$ , then $\"y=1\"$ .\r
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\n" ); document.write( "\n" ); document.write( "Let's find y when $\"x=4\"$ :\r
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\n" ); document.write( "\n" ); document.write( " $\"y=x%5E2-2x-2\"$ Start with the given equation.\r
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\n" ); document.write( "\n" ); document.write( " $\"y=%284%29%5E2-2%284%29-2\"$ Plug in $\"x=4\"$ .\r
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\n" ); document.write( "\n" ); document.write( " $\"y=1%2816%29-2%284%29-2\"$ Square $\"4\"$ to get $\"16\"$ .\r
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\n" ); document.write( "\n" ); document.write( " $\"y=16-2%284%29-2\"$ Multiply $\"1\"$ and $\"16\"$ to get $\"16\"$ .\r
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\n" ); document.write( "\n" ); document.write( " $\"y=16-8-2\"$ Multiply $\"-2\"$ and $\"4\"$ to get $\"-8\"$ .\r
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\n" ); document.write( "\n" ); document.write( " $\"y=6\"$ Combine like terms.\r
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\n" ); document.write( "\n" ); document.write( "So if $\"x=4\"$ , then $\"y=6\"$ .\r
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\n" ); document.write( "\n" ); document.write( "Now let's make a table of the values we just found.\r
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Table of Values:

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document.write( "x y
-2 6
-1 1
0 -2
1 -3
2 -2
3 1
4 6\r\n" );
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\n" ); document.write( "\n" ); document.write( "Jump to Top of Page\r
\n" ); document.write( "\n" ); document.write( "Now draw a curve through all of the points to graph $\"y=x%5E2-2x-2\"$ :\r
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Graph of $\"y=x%5E2-2x-2\"$ \n" ); document.write( "

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