Question

Quick questions:

I need to identify the TYPE of equation (Line, Parabola, Circle, Ellipse or Hyperbola).

I do NOT have to solve the problem, only identify. I finished 27 of the problems with ease but got stuck on these 3.

6(x-2)^2 + 24(y+3)^2 = 96
(When I graphed that, it was an oval shape)

x^2 + 2x - y^2 = x^2+ 9y +6
(When graphed, it had a line running straight up and down, and then a curve to the right of the line opening outwards)

12(x-1)^2 = 27(y+2)^2 - 108
(this one had 4 lines going crisscross near the origin in all 4 directions with a slight curve)

Can anyone help

Answer 1

@Luigi0210

Answer 2

Well there are only two choices for the first one.. if it's not a circle it has to be an ellipse.

Answer 3

Ok that makes sense, it was a very slight difference from a circle I almost thought it was one.. looked like it on the graphing calculator but yes it should be an Ellipse

Answer 4

AH, conics. We are just starting that. My teacher went over it in the last minute of class

Answer 5

That picture will help in identifying them based on their equation,

Answer 6

Thank you, the conic photo really helped a lot. That will be very useful later on as it gets harder. I think the correct answers are

1. Ellipse
2. Hyperbola
3. Hyperbola

Answer 7

Actually second one is a parabola, the third is right.