document.write( "Question 83761: I'm trying to remember how to do this problem, we did this soo long ago\r
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Algebra.Com's Answer #60248 by jim_thompson5910(35256) $\"\"$ $\"About$

You can put this solution on YOUR website!
To graph $\"y=%28x-7%29%5E2%2B5\"$ simply choose a set of x values and plug them in to find the y values. After that, you can plot the points and graph the equation\r
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\n" ); document.write( "\n" ); document.write( " $\"y=%28x-7%29%5E2%2B5\"$ Start with the given equation
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\n" ); document.write( " $\"y=%28%284%29-7%29%5E2%2B5\"$ Plug in $\"x=4\"$
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\n" ); document.write( " $\"%28%284%29-7%29%5E2%2B5=14\"$ Calculate the y value\r
\n" ); document.write( "\n" ); document.write( "So when $\"x=4\"$ $\"y=14\"$ \r
\n" ); document.write( "\n" ); document.write( "So our 1st point is (4,14)\r
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\n" ); document.write( "\n" ); document.write( " $\"y=%28x-7%29%5E2%2B5\"$ Start with the given equation
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\n" ); document.write( " $\"y=%28%285%29-7%29%5E2%2B5\"$ Plug in $\"x=5\"$
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\n" ); document.write( " $\"%28%285%29-7%29%5E2%2B5=9\"$ Calculate the y value\r
\n" ); document.write( "\n" ); document.write( "So when $\"x=5\"$ $\"y=9\"$ \r
\n" ); document.write( "\n" ); document.write( "So our 2nd point is (5,9)\r
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\n" ); document.write( "\n" ); document.write( " $\"y=%28x-7%29%5E2%2B5\"$ Start with the given equation
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\n" ); document.write( " $\"y=%28%286%29-7%29%5E2%2B5\"$ Plug in $\"x=6\"$
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\n" ); document.write( " $\"%28%286%29-7%29%5E2%2B5=6\"$ Calculate the y value\r
\n" ); document.write( "\n" ); document.write( "So when $\"x=6\"$ $\"y=6\"$ \r
\n" ); document.write( "\n" ); document.write( "So our 3rd point is (6,6)\r
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\n" ); document.write( "\n" ); document.write( " $\"y=%28x-7%29%5E2%2B5\"$ Start with the given equation
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\n" ); document.write( " $\"y=%28%287%29-7%29%5E2%2B5\"$ Plug in $\"x=7\"$
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\n" ); document.write( " $\"%28%287%29-7%29%5E2%2B5=5\"$ Calculate the y value\r
\n" ); document.write( "\n" ); document.write( "So when $\"x=7\"$ $\"y=5\"$ \r
\n" ); document.write( "\n" ); document.write( "So our 4th point is (7,5)\r
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\n" ); document.write( "\n" ); document.write( " $\"y=%28x-7%29%5E2%2B5\"$ Start with the given equation
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\n" ); document.write( " $\"y=%28%288%29-7%29%5E2%2B5\"$ Plug in $\"x=8\"$
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\n" ); document.write( " $\"%28%288%29-7%29%5E2%2B5=6\"$ Calculate the y value\r
\n" ); document.write( "\n" ); document.write( "So when $\"x=8\"$ $\"y=6\"$ \r
\n" ); document.write( "\n" ); document.write( "So our 5th point is (8,6)\r
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\n" ); document.write( "\n" ); document.write( " $\"y=%28x-7%29%5E2%2B5\"$ Start with the given equation
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\n" ); document.write( " $\"y=%28%289%29-7%29%5E2%2B5\"$ Plug in $\"x=9\"$
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\n" ); document.write( " $\"%28%289%29-7%29%5E2%2B5=9\"$ Calculate the y value\r
\n" ); document.write( "\n" ); document.write( "So when $\"x=9\"$ $\"y=9\"$ \r
\n" ); document.write( "\n" ); document.write( "So our 6th point is (9,9)\r
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\n" ); document.write( "\n" ); document.write( " $\"y=%28x-7%29%5E2%2B5\"$ Start with the given equation
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\n" ); document.write( " $\"y=%28%2810%29-7%29%5E2%2B5\"$ Plug in $\"x=10\"$
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\n" ); document.write( " $\"%28%2810%29-7%29%5E2%2B5=14\"$ Calculate the y value\r
\n" ); document.write( "\n" ); document.write( "So when $\"x=10\"$ $\"y=14\"$ \r
\n" ); document.write( "\n" ); document.write( "So our 7th point is (10,14)\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
 4 14
 5 9
 6 6
 7 5
 8 6
 9 9
 10 14\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, this is the graph of (x-7)^2+5\r
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