document.write( "Question 130545This question is from textbook algebra
\n" ); document.write( ": Hi! How is everyone?
\n" ); document.write( "Allright, I am having some difficult with this certain problem.
\n" ); document.write( "It says to graph the function y=f(x)=x^2
\n" ); document.write( "Please help me THANK YOU=) \n" ); document.write( "

Algebra.Com's Answer #95336 by jim_thompson5910(35256) $\"\"$ $\"About$

You can put this solution on YOUR website!
In order to graph $\"f%28x%29=1x%5E2\"$ , 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( " $\"f%28x%29=1x%5E2\"$ Start with the given function\r
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\n" ); document.write( "\n" ); document.write( " $\"f%28-3%29=1%28-3%29%5E2\"$ Plug in $\"x=-3\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"f%28-3%29=1%2A9\"$ Raise -3 to the 2nd power to get 9\r
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\n" ); document.write( "\n" ); document.write( " $\"f%28-3%29=9\"$ Multiply 1 and 9 to get 9\r
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\n" ); document.write( "\n" ); document.write( "So when $\"x=-3\"$ , we have $\"y=9\"$ \r
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\n" ); document.write( "\n" ); document.write( "So our 1st point is (-3,9)\r
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\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=1x%5E2\"$ Start with the given function\r
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\n" ); document.write( "\n" ); document.write( " $\"f%28-2%29=1%28-2%29%5E2\"$ Plug in $\"x=-2\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"f%28-2%29=1%2A4\"$ Raise -2 to the 2nd power to get 4\r
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\n" ); document.write( "\n" ); document.write( " $\"f%28-2%29=4\"$ Multiply 1 and 4 to get 4\r
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\n" ); document.write( "\n" ); document.write( "So when $\"x=-2\"$ , we have $\"y=4\"$ \r
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\n" ); document.write( "\n" ); document.write( "So our 2nd point is (-2,4)\r
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\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=1x%5E2\"$ Start with the given function\r
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\n" ); document.write( "\n" ); document.write( " $\"f%28-1%29=1%28-1%29%5E2\"$ Plug in $\"x=-1\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"f%28-1%29=1%2A1\"$ Raise -1 to the 2nd power to get 1\r
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\n" ); document.write( "\n" ); document.write( " $\"f%28-1%29=1\"$ Multiply 1 and 1 to get 1\r
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\n" ); document.write( "\n" ); document.write( "So when $\"x=-1\"$ , we have $\"y=1\"$ \r
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\n" ); document.write( "\n" ); document.write( "So our 3rd point is (-1,1)\r
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\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=1x%5E2\"$ Start with the given function\r
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\n" ); document.write( "\n" ); document.write( " $\"f%280%29=1%280%29%5E2\"$ Plug in $\"x=0\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"f%280%29=1%2A0\"$ Raise 0 to the 2nd power to get 0\r
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\n" ); document.write( "\n" ); document.write( " $\"f%280%29=0\"$ Multiply 1 and 0 to get 0\r
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\n" ); document.write( "\n" ); document.write( "So when $\"x=0\"$ , we have $\"y=0\"$ \r
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\n" ); document.write( "\n" ); document.write( "So our 4th point is (0,0)\r
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\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=1x%5E2\"$ Start with the given function\r
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\n" ); document.write( "\n" ); document.write( " $\"f%281%29=1%281%29%5E2\"$ Plug in $\"x=1\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"f%281%29=1%2A1\"$ Raise 1 to the 2nd power to get 1\r
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\n" ); document.write( "\n" ); document.write( " $\"f%281%29=1\"$ Multiply 1 and 1 to get 1\r
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\n" ); document.write( "\n" ); document.write( "So when $\"x=1\"$ , we have $\"y=1\"$ \r
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\n" ); document.write( "\n" ); document.write( "So our 5th point is (1,1)\r
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\n" ); document.write( "\n" ); document.write( " $\"f%282%29=1%282%29%5E2\"$ Plug in $\"x=2\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"f%282%29=1%2A4\"$ Raise 2 to the 2nd power to get 4\r
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\n" ); document.write( "\n" ); document.write( " $\"f%282%29=4\"$ Multiply 1 and 4 to get 4\r
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\n" ); document.write( "\n" ); document.write( "So when $\"x=2\"$ , we have $\"y=4\"$ \r
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\n" ); document.write( "\n" ); document.write( "So our 6th point is (2,4)\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( " $\"f%28x%29=1x%5E2\"$ Start with the given function\r
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\n" ); document.write( "\n" ); document.write( " $\"f%283%29=1%283%29%5E2\"$ Plug in $\"x=3\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"f%283%29=1%2A9\"$ Raise 3 to the 2nd power to get 9\r
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\n" ); document.write( "\n" ); document.write( " $\"f%283%29=9\"$ Multiply 1 and 9 to get 9\r
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\n" ); document.write( "\n" ); document.write( "So when $\"x=3\"$ , we have $\"y=9\"$ \r
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\n" ); document.write( "\n" ); document.write( "So our 7th point is (3,9)\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
 -3 9
 -2 4
 -1 1
 0 0
 1 1
 2 4
 3 9\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 $\"y=1x%5E2\"$ (note: the more points you plot, the easier it is to draw the graph)\r
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