SOLUTION: Please help me!!! Which of the equations below is for an ellipse and which is for a hyperbola? Demonstrate by explaining or showing how you can tell the difference without using

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Please help me!!! Which of the equations below is for an ellipse and which is for a hyperbola? Demonstrate by explaining or showing how you can tell the difference without using      Log On


   

Question 857821: Please help me!!!
Which of the equations below is for an ellipse and which is for a hyperbola?
Demonstrate by explaining or showing how you can tell the difference without using a graphing calculator.
A) 4y^2=144+16x^2
B) 4y^2+16x^2=144
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Ellipses have the form
%28x-h%29%5E2%2Fa%5E2%2B%28y-k%29%5E2%2Fb%5E2=1
while hyperbolas have the form,
%28x-h%29%5E2%2Fa%5E2-%28y-k%29%5E2%2Fb%5E2=1