document.write( "Question 137704: Please solve and explain this quadratic equation. I still don't quite understand how to solve and graph it. thanks!\r
\n" ); document.write( "\n" ); document.write( "y=(x-3)^2-5 \n" ); document.write( "
Algebra.Com's Answer #100753 by ankor@dixie-net.com(22740)\"\" \"About 
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y = (x-3)^2 - 5
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\n" ); document.write( "Solve by making y = 0
\n" ); document.write( "(x-3)^2 - 5 = 0
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\n" ); document.write( "(x-3)^2 = +5; added 5 to both sides
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\n" ); document.write( "x - 3 = +/-\"sqrt%285%29\";find the square root of both sides
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\n" ); document.write( "x = 3 + \"sqrt%285%29\"; added 3 to both sides
\n" ); document.write( "and
\n" ); document.write( "x = 3 - \"sqrt%285%29\"
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\n" ); document.write( "When you graph, you will see these are the values for the x intercept
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\n" ); document.write( "Graph using the original equation; Find the value of y for x = -1 to x = +6
\n" ); document.write( "y = (-1-3)^2 - 5
\n" ); document.write( "y = -4^2 - 5
\n" ); document.write( "y = 16 - 5
\n" ); document.write( "y = +11
\n" ); document.write( "the first entry on the table will be:
\n" ); document.write( " x | y
\n" ); document.write( "-------
\n" ); document.write( "-1 + +11
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\n" ); document.write( "For x = 0
\n" ); document.write( "y = (0-3)^2 - 5
\n" ); document.write( "y = +9 - 5
\n" ); document.write( "y = +4
\n" ); document.write( "the table is now:
\n" ); document.write( " x | y
\n" ); document.write( "------
\n" ); document.write( "-1 |+11
\n" ); document.write( " 0 |+4
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\n" ); document.write( "Do this for x = +1, 2, 3, 4, 5, 6
\n" ); document.write( "Your table should look like this
\n" ); document.write( " x | y
\n" ); document.write( "------
\n" ); document.write( "-1 |+11
\n" ); document.write( " 0 |+4
\n" ); document.write( "+1 |-1
\n" ); document.write( "+2 |-4
\n" ); document.write( "+3 |-5
\n" ); document.write( "+4 |-4
\n" ); document.write( "+5 |-1
\n" ); document.write( "+6 |+4
\n" ); document.write( ":
\n" ); document.write( "The graph should look like this
\n" ); document.write( "\"+graph%28+300%2C+200%2C+-3%2C+12%2C+-8%2C+10%2C+%28x-3%29%5E2-5%29+\"
\n" ); document.write( "Note they cross the x axis at about +.76 and +5.24 which are decimal values for
\n" ); document.write( "3-Sqrt(5) and 3+sqrt(5)
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\n" ); document.write( "Did the help you? \n" ); document.write( "
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