document.write( "Question 24963: x^2+1=-8 solve
\n" ); document.write( "4x^2+8=0
\n" ); document.write( "graph
\n" ); document.write( "y=x^2-1\r
\n" ); document.write( "\n" ); document.write( "y=2x^2 \n" ); document.write( "
Algebra.Com's Answer #13344 by quentin252(19)\"\" \"About 
You can put this solution on YOUR website!
ok,
\n" ); document.write( "x^2+1=-8 --> x^2=-9
\n" ); document.write( "--> x=+-\"sqrt%289%2A%28-1%29%29\" = +-\"sqrt%289%29%2Asqrt%28-1%29\" = +-(3)*(i) = +-3i\r
\n" ); document.write( "\n" ); document.write( "4x^2+8=0 --> x^2+2=0 --> x^2=-2 --> x=+-\"sqrt%282%29\"i\r
\n" ); document.write( "\n" ); document.write( "y=x^2-1 graph... ok, let's stop and think about this
\n" ); document.write( "if it said y=x^2, we'd be cool... we've seen this parabola graph b4
\n" ); document.write( "so what will the '-1' actually change?
\n" ); document.write( "well, it will make all y-coordinate's one less
\n" ); document.write( "so the whole graph simply shift down one
\n" ); document.write( "if you ever get in trouble graphing you can usually get away with just plotting a few points until you figure out what's going on
\n" ); document.write( "(ex plug in 0 for x -> i get -1 for y, so (0,-1) is a point)\r
\n" ); document.write( "\n" ); document.write( "now, y=2x^2
\n" ); document.write( "what will that 2 change?
\n" ); document.write( "well it will make all y coordinates double
\n" ); document.write( "giving us a slimmer, taller parabola\r
\n" ); document.write( "\n" ); document.write( "does any of this help?
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