document.write( "Question 170006: I need to graph the function y =f(x) = x^2. How to do?
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Algebra.Com's Answer #125469 by jim_thompson5910(35256) $\"\"$ $\"About$

You can put this solution on YOUR website!
Table of Contents:\r
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\n" ); document.write( "\n" ); document.write( "Jump to Graph\r
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\n" ); document.write( "\n" ); document.write( "In order to graph $\"y=x%5E2\"$ , 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
\n" ); document.write( "\n" ); document.write( "(Note: you can start with any x-value):\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 $\"x=-2\"$ , then $\"y=4\"$ .\r
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\n" ); document.write( "\n" ); document.write( "So we have the point

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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( " $\"y=x%5E2\"$ 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 $\"x=-1\"$ , then $\"y=1\"$ .\r
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\n" ); document.write( "\n" ); document.write( "So we have the point

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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( " $\"y=x%5E2\"$ 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 $\"x=0\"$ , then $\"y=0\"$ .\r
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\n" ); document.write( "\n" ); document.write( "So we have the point

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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( " $\"y=x%5E2\"$ 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( "\n" ); document.write( " $\"y=1\"$ Square $\"1\"$ to get $\"1\"$ .\r
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\n" ); document.write( "\n" ); document.write( "So when $\"x=1\"$ , then $\"y=1\"$ .\r
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\n" ); document.write( "\n" ); document.write( "So we have the point

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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( " $\"y=x%5E2\"$ 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 $\"x=2\"$ , then $\"y=4\"$ .\r
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\n" ); document.write( "\n" ); document.write( "So we have the point

Table of Values:

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document.write( "x y
-2 4
-1 1
0 0
1 1
2 4\r\n" );
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\n" ); document.write( "\n" ); document.write( "Now let's plot the points:\r
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Graph:

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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 $\"y=x%5E2\"$ \n" ); document.write( "

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