Question

Classify the graph of the equation as a circle, a parabola, an ellipse, or a hyperbola.
2x^2 + 6y^2 + 5x = 0

A. circle
B. parabola
C. ellipse
D. hyperbola

Answer 1

ellipse.

Answer 2

general eq of conic is \[ax^2+ by^2+2gx+afy+ahxy+c=0\]

Answer 3

conic depends on the sign of
\[h^2- ab\]

Answer 4

ok so negative makes it an ellipse.?
6x2 – 3y2 + 5x – 2y – 7 = 0 would be a hyperbola right or no cause it's negative

Answer 5

2fy*

Answer 6

yes its an ellipse

Answer 7

+ve makes a hyperbola

Answer 8

ok so whats makes something a parabola?

Answer 9

=zero

Answer 10

a parabola bends once; onlyone variable will be squared

Answer 11

oh ok thanks

Answer 12

I guess I just dont get how you tell the difference between a hyperbola and ellipse if they are both negative, like 5x2 – 8y2 + 7x + 3y – 7 = 0
it's not a parabola or circle

Answer 13

that looks like a hyperbola

Answer 14

how do you tell the difference between a hyperbola and ellipse

Answer 15

when x^2 or y^2; only one of them is negative; its a hyperbola usually

Answer 16

if h^2-ab is positive, the conic is a hyperbola

Answer 17

an ellipse/cirlce has the same sign on x^2 and y^2

Answer 18

yes if a n b possess different sign it is usualy a hyperbola

Answer 19

a circle is just a special ellipse

Answer 20

oh ok I get it now thanks very much

Answer 21

just like a square is a special rectangle

Answer 22

right

Answer 23

a hyperbola is an inside out ellipse

Answer 24

oh ok good way to put it