Question

Identify the conic section for each equation.

Answer 1

I think that 1, 2, & 5 are hyperbolas, but I'm not sure..

Answer 2

@ranga

Answer 3

1 has a plus sign in the middle.

Answer 4

Remember hyperbolas are differenced (subtracted) not addition, ellipses are added

Answer 5

oh okay, so 1 would be an ellipse!

Answer 6

Yes, 2 and 5 are your hyperbolas

Answer 7

how do I find 3 & 4 though?

Answer 8

for 3 look at the coefficients of x^2 and y^2. Both are same sign and same value. It means it is a circle.

Answer 9

For 4 there is no x^2. Only y is squared. Therefore, it is a parabola.

Answer 10

thank you!!! :)

Answer 11

The general form of conics section is:

Ax^2 + Bxy + Cy^2 + Dx + Ey + F = 0

If A or C is zero it is a parabola (only one squared term)
If A = C it is a circle (both in sign and value)
If A is not equal to C but A and C have the same sign then it is an ellipse.
If A and C have the opposite sign then it is a hyperbola.

Answer 12

yw.