SOLUTION: (x+3)squared=8(y+2) Is this ellipse, parabola or hyperbola

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Question 36905: (x+3)squared=8(y+2)
Is this ellipse, parabola or hyperbola
Answer by Alwayscheerful(414) About Me  (Show Source):
You can put this solution on YOUR website!
First, simplify your equation
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • 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) )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

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.
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.
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

Universal Simplifier and Solver


Done!


You get %28x-3%29%5E2-8%2Ay-16=0
Since only the x term is squared, you know this is goin to be a parabola.
Hope this helps!