document.write( "Question 36905: (x+3)squared=8(y+2)\r
\n" ); document.write( "\n" ); document.write( "Is this ellipse, parabola or hyperbola \n" ); document.write( "
Algebra.Com's Answer #22687 by Alwayscheerful(414)\"\" \"About 
You can put this solution on YOUR website!
First, simplify your equation
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Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:

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  • Graphical form: \"%28x-3%29%5E2=8%2A%28y%2B2%29\" simplifies to \"%28x-3%29%5E2-8%2Ay-16=0\"
  • Text form: (x-3)^2=8*(y+2) simplifies to (x-3)^2-8*y-16=0
  • Cartoon (animation) form: \"simplify_cartoon%28+%28x-3%29%5E2=8%2A%28y%2B2%29+%29\"
    For tutors: simplify_cartoon( (x-3)^2=8*(y+2) )
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  • If you have a website, here's a link to this solution.
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DETAILED EXPLANATION

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Look at \"%28x-3%29%5E2=highlight_red%28+8%2A%28y%2B2%29+%29\".
Moved these terms to the left \"highlight_green%28+-8%2A%28y%2B2%29+%29\"
It becomes \"%28x-3%29%5E2-highlight_green%28+8%2A%28y%2B2%29+%29=0\".
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Look at \"%28x-3%29%5E2-highlight_red%28+8%2A%28y%2B2%29+%29=0\".
Expanded term \"-8\" by using associative property on \"%28y%2B2%29\"
It becomes \"%28x-3%29%5E2-highlight_green%28+8%2Ay+%29-highlight_green%28+8%2A2+%29=0\".
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Look at \"%28x-3%29%5E2-8%2Ay-highlight_red%28+8+%29%2Ahighlight_red%28+2+%29=0\".
Multiplied numerator integers
It becomes \"%28x-3%29%5E2-8%2Ay-highlight_green%28+16+%29=0\".
Result: \"%28x-3%29%5E2-8%2Ay-16=0\"
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Universal Simplifier and Solver

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Done!

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\n" ); document.write( "\n" ); document.write( "You get \"%28x-3%29%5E2-8%2Ay-16=0\"\r
\n" ); document.write( "\n" ); document.write( "Since only the x term is squared, you know this is goin to be a parabola. \r
\n" ); document.write( "\n" ); document.write( "Hope this helps! \n" ); document.write( "
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