document.write( "Question 127270: Graph the quadratic equation after completing the given table of values.
\n" ); document.write( " y = x^2 – 1 \r
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\n" ); document.write( "–2
\n" ); document.write( "–1
\n" ); document.write( " 0
\n" ); document.write( " 1
\n" ); document.write( " 2
\n" ); document.write( "Please assist me with this question, as I am lost.
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Algebra.Com's Answer #93260 by jim_thompson5910(35256) $\"\"$ $\"About$

You can put this solution on YOUR website!
In order to graph $\"f%28x%29=1x%5E2-1\"$ , we need to plot some points. To do that, we need to plug in some x values to get some y values\r
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\n" ); document.write( "\n" ); document.write( "So let's find the first point:\r
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\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=1x%5E2-1\"$ Start with the given function\r
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\n" ); document.write( "\n" ); document.write( " $\"f%28-2%29=1%28-2%29%5E2-1\"$ Plug in $\"x=-2\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"f%28-2%29=1%2A4-1\"$ Raise -2 to the 2nd power to get 4\r
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\n" ); document.write( "\n" ); document.write( " $\"f%28-2%29=4-1\"$ Multiply 1 and 4 to get 4\r
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\n" ); document.write( "\n" ); document.write( " $\"f%28-2%29=3\"$ Subtract 1 from 4 to get 3\r
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\n" ); document.write( "\n" ); document.write( "So when $\"x=-2\"$ , we have $\"y=3\"$ \r
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\n" ); document.write( "\n" ); document.write( "So our 1st point is (-2,3)\r
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\n" ); document.write( "\n" ); document.write( "-------------- Let's find another point --------------\r
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\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=1x%5E2-1\"$ Start with the given function\r
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\n" ); document.write( "\n" ); document.write( " $\"f%28-1%29=1%28-1%29%5E2-1\"$ Plug in $\"x=-1\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"f%28-1%29=1%2A1-1\"$ Raise -1 to the 2nd power to get 1\r
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\n" ); document.write( "\n" ); document.write( " $\"f%28-1%29=1-1\"$ Multiply 1 and 1 to get 1\r
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\n" ); document.write( "\n" ); document.write( " $\"f%28-1%29=0\"$ Subtract 1 from 1 to get 0\r
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\n" ); document.write( "\n" ); document.write( "So when $\"x=-1\"$ , we have $\"y=0\"$ \r
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\n" ); document.write( "\n" ); document.write( "So our 2nd point is (-1,0)\r
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\n" ); document.write( "\n" ); document.write( "-------------- Let's find another point --------------\r
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\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=1x%5E2-1\"$ Start with the given function\r
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\n" ); document.write( "\n" ); document.write( " $\"f%280%29=1%280%29%5E2-1\"$ Plug in $\"x=0\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"f%280%29=1%2A0-1\"$ Raise 0 to the 2nd power to get 0\r
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\n" ); document.write( "\n" ); document.write( " $\"f%280%29=0-1\"$ Multiply 1 and 0 to get 0\r
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\n" ); document.write( "\n" ); document.write( " $\"f%280%29=-1\"$ Subtract 1 from 0 to get -1\r
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\n" ); document.write( "\n" ); document.write( "So when $\"x=0\"$ , we have $\"y=-1\"$ \r
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\n" ); document.write( "\n" ); document.write( "So our 3rd point is (0,-1)\r
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\n" ); document.write( "\n" ); document.write( "-------------- Let's find another point --------------\r
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\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=1x%5E2-1\"$ Start with the given function\r
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\n" ); document.write( "\n" ); document.write( " $\"f%281%29=1%281%29%5E2-1\"$ Plug in $\"x=1\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"f%281%29=1%2A1-1\"$ Raise 1 to the 2nd power to get 1\r
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\n" ); document.write( "\n" ); document.write( " $\"f%281%29=1-1\"$ Multiply 1 and 1 to get 1\r
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\n" ); document.write( "\n" ); document.write( " $\"f%281%29=0\"$ Subtract 1 from 1 to get 0\r
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\n" ); document.write( "\n" ); document.write( "So when $\"x=1\"$ , we have $\"y=0\"$ \r
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\n" ); document.write( "\n" ); document.write( "So our 4th point is (1,0)\r
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\n" ); document.write( "\n" ); document.write( "-------------- Let's find another point --------------\r
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\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=1x%5E2-1\"$ Start with the given function\r
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\n" ); document.write( "\n" ); document.write( " $\"f%282%29=1%282%29%5E2-1\"$ Plug in $\"x=2\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"f%282%29=1%2A4-1\"$ Raise 2 to the 2nd power to get 4\r
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\n" ); document.write( "\n" ); document.write( " $\"f%282%29=4-1\"$ Multiply 1 and 4 to get 4\r
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\n" ); document.write( "\n" ); document.write( " $\"f%282%29=3\"$ Subtract 1 from 4 to get 3\r
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\n" ); document.write( "\n" ); document.write( "So when $\"x=2\"$ , we have $\"y=3\"$ \r
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\n" ); document.write( "\n" ); document.write( "So our 5th point is (2,3)\r
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\n" ); document.write( "\n" ); document.write( "Now lets make a table of the values we have calculated\r
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document.write( " x y
 -2 3
 -1 0
 0 -1
 1 0
 2 3\r\n" );
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Now plot the points\r
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\n" ); document.write( "\n" ); document.write( "Now connect the points to graph $\"y=1x%5E2-1\"$ (note: the more points you plot, the easier it is to draw the graph)\r
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