document.write( "Question 48429: I need help graphing the solution to an inequality. y<-2 (x-1)^2 + 2
\n" ); document.write( "I also need to find the intercepts. If anyone can help, I would appreciate it.
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Algebra.Com's Answer #32077 by longjonsilver(2297)\"\" \"About 
You can put this solution on YOUR website!
You don't mention if the intercepts are to be found by algebra or from your graph.\r
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\n" ); document.write( "\n" ); document.write( "Anyway, to solve/plot \"y%3C-2+%28x-1%29%5E2+%2B+2\" you need to solve/plot \"y=-2%28x-1%29%5E2+%2B+2\"\r
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\n" ); document.write( "\n" ); document.write( "To graph/plot it: pick various values of y. These are your choice. Pick something fairly obvious like -3, -2, -1, 0, 1, 2,3 and find the equivalent x-value for each. Plot these. Add more if you need them.\r
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\n" ); document.write( "\n" ); document.write( "To find the intercepts algebraically:
\n" ); document.write( "\"y=-2%28x-1%29%5E2+%2B+2\"
\n" ); document.write( "\"y=-2%28x%5E2-2x%2B1%29+%2B+2\"
\n" ); document.write( "\"y=-2x%5E2%2B4x-2+%2B+2\"
\n" ); document.write( "\"+y=-2x%5E2%2B4x+\"\r
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\n" ); document.write( "\n" ); document.write( "when x=0, y will by zero too. So curve passes through (0,0)\r
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\n" ); document.write( "\n" ); document.write( "when y=0: \"+-2x%5E2%2B4x+=+0+\"
\n" ); document.write( "\"+-2%28x%5E2-2x%29+=+0+\"
\n" ); document.write( "\"+x%5E2-2x+=+0+\"
\n" ); document.write( "\"+x%28x-2%29+=+0+\"
\n" ); document.write( "so x=0 or x-2=0
\n" ); document.write( "x=0 or x=2\r
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\n" ); document.write( "\n" ); document.write( "jon
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