How do you identity if the equation #3x^2+4y^2+8y=8# is a parabola, circle, ellipse, or hyperbola and how do you graph it?
1 Answer
Nov 19, 2016
This is an ellipse
Explanation:
Compare this to the general equation for conics and calculate the discriminant.
The discriminant is
if
If
If
In our case,
so,
We can also, rearrage the equation
Dividing by 12
which is an equation of an ellipse
The center is
The foci are F
The major axis is
and the minor axis is
graph{(3x^2+4y^2+8y-8)(y-1)=0 [-4.915, 3.855, -3.362, 1.023]}