Question

how to identfy and draw the following graph 4x^2+4y^2+8y-3=0

Answer 1

u'll need some intuition.

Answer 2

\[\frac{x^2}{a^2}+\frac{y^2}{b^2}=1\]

ellipse

Answer 3

\[\frac{x^2}{a^2}-\frac{y^2}{b^2}=1\]

hyperbola

Answer 4

and since the coefficients of the square terms are the same, it is a circle!

Answer 5

you probably need the center and radius too. do you know how to find them?