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

Algebra.Com
Question 36905: (x+3)squared=8(y+2)
Is this ellipse, parabola or hyperbola
Answer by Alwayscheerful(414)   (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: simplifies to
  • Text form: (x-3)^2=8*(y+2) simplifies to (x-3)^2-8*y-16=0
  • Cartoon (animation) form:
    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 .
Moved these terms to the left highlight_green%28+-8%2A%28y%2B2%29+%29
It becomes .
Look at .
Expanded term -8 by using associative property on %28y%2B2%29
It becomes .
Look at .
Multiplied numerator integers
It becomes .
Result:

Universal Simplifier and Solver


Done!


You get
Since only the x term is squared, you know this is goin to be a parabola.
Hope this helps!
RELATED QUESTIONS

(x+3)squared=8(y+2) Is this ellipse, parabola or... (answered by venugopalramana)
is this equatation, y=x^2-1 a parabola, circle, ellipse, or... (answered by Fombitz)
x-1=1/4(y-8)^2 Which conic section is this ? Hyperbola Circle Parabola Ellipse (answered by solver91311)
is x squared + y squared - 12x + 18y - 4 = 0 an ellipse, parabola, hyperbola or... (answered by lwsshak3)
is 8(2xy+x-x^2)=4(2y^2-y)-100 a parabola, circle, ellipse, or hyperbola (answered by ikleyn)
16(x+3)^2 - 4(y-1)^2 = 64 parabola ellipse or... (answered by lwsshak3)
(x-3)^2=12(y-6) circle ellipse hyperbola or parabola... (answered by Alan3354,jim_thompson5910)
x-1=1/4(y-8)^2 Which conic section is this equation ? Hyperbola? Circle? Ellipse?... (answered by timvanswearingen)
would this be classified as a circle, parabola, hyperbola, ellipse, or none of these.... (answered by richwmiller)