document.write( "Question 219630: I do not know how to graph the parabola y= x^2 \n" ); document.write( "

Algebra.Com's Answer #165136 by jim_thompson5910(35256) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "In order to graph $\"y=x%5E2\"$ , we need to plot a few points. To find these points, simply plug in values of 'x' to find corresponding values of 'y'. They will form the points in the form (x,y).\r
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\n" ); document.write( "\n" ); document.write( "Let's find the y value when $\"x=-3\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"y=x%5E2\"$ Start with the given equation.\r
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\n" ); document.write( "\n" ); document.write( " $\"y=%28-3%29%5E2\"$ Plug in $\"x=-3\"$ .\r
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\n" ); document.write( "\n" ); document.write( " $\"y=9\"$ Square -3 to get 9.\r
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\n" ); document.write( "\n" ); document.write( "So when $\"x=-3\"$ , $\"y=9\"$ . So we have the point (-3,9).\r
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\n" ); document.write( "\n" ); document.write( "Let's find the y value when $\"x=-2\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"y=x%5E2\"$ Start with the given equation.\r
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\n" ); document.write( "\n" ); document.write( " $\"y=%28-2%29%5E2\"$ Plug in $\"x=-2\"$ .\r
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\n" ); document.write( "\n" ); document.write( " $\"y=4\"$ Square -2 to get 4.\r
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\n" ); document.write( "\n" ); document.write( "So when $\"x=-2\"$ , $\"y=4\"$ . So we have the point (-2,4).\r
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\n" ); document.write( "\n" ); document.write( "Let's find the y value when $\"x=-1\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"y=x%5E2\"$ Start with the given equation.\r
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\n" ); document.write( "\n" ); document.write( " $\"y=%28-1%29%5E2\"$ Plug in $\"x=-1\"$ .\r
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\n" ); document.write( "\n" ); document.write( " $\"y=1\"$ Square -1 to get 1.\r
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\n" ); document.write( "\n" ); document.write( "So when $\"x=-1\"$ , $\"y=1\"$ . So we have the point (-1,1).\r
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\n" ); document.write( "\n" ); document.write( "Let's find the y value when $\"x=0\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"y=x%5E2\"$ Start with the given equation.\r
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\n" ); document.write( "\n" ); document.write( " $\"y=%280%29%5E2\"$ Plug in $\"x=0\"$ .\r
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\n" ); document.write( "\n" ); document.write( " $\"y=0\"$ Square 0 to get 0.\r
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\n" ); document.write( "\n" ); document.write( "So when $\"x=0\"$ , $\"y=0\"$ . So we have the point (0,0).\r
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\n" ); document.write( "\n" ); document.write( "Let's find the y value when $\"x=1\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"y=x%5E2\"$ Start with the given equation.\r
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\n" ); document.write( "\n" ); document.write( " $\"y=%281%29%5E2\"$ Plug in $\"x=1\"$ .\r
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\n" ); document.write( "\n" ); document.write( " $\"y=1\"$ Square 1 to get 1.\r
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\n" ); document.write( "\n" ); document.write( "So when $\"x=1\"$ , $\"y=1\"$ . So we have the point (1,1).\r
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\n" ); document.write( "\n" ); document.write( "Let's find the y value when $\"x=2\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"y=x%5E2\"$ Start with the given equation.\r
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\n" ); document.write( "\n" ); document.write( " $\"y=%282%29%5E2\"$ Plug in $\"x=2\"$ .\r
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\n" ); document.write( "\n" ); document.write( " $\"y=4\"$ Square 2 to get 4.\r
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\n" ); document.write( "\n" ); document.write( "So when $\"x=2\"$ , $\"y=4\"$ . So we have the point (2,4).\r
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\n" ); document.write( "\n" ); document.write( " $\"y=x%5E2\"$ Start with the given equation.\r
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\n" ); document.write( "\n" ); document.write( " $\"y=%283%29%5E2\"$ Plug in $\"x=3\"$ .\r
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\n" ); document.write( "\n" ); document.write( " $\"y=9\"$ Square 3 to get 9.\r
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\n" ); document.write( "\n" ); document.write( "So when $\"x=3\"$ , $\"y=9\"$ . So we have the point (3,9).\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
-3 9
-2 4
-1 1
0 0
1 1
2 4
3 9\r\n" );
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\n" ); document.write( "\n" ); document.write( "Now draw a curve through all of the points to graph $\"y=x%5E2\"$ :\r
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Graph of $\"y=x%5E2\"$ \r
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