Explain how you can tell what kind of conic section a quadratic equation describes without graphing the equation.

Can you do this by writing the equation in standard form? (That's what my answer key says... but I don't know how/if it's actually right)

3 answers

Yes

like (x-h)^2= 4(a(y-k) is a parabola

(x-h)^2/a^2 + (y-k)^2/b^2 = 1 is an ellipse
if a^2=b^2 then circle of radius a^2=b^2=r^2

if - sign between, then ellipse turns to hyperbola etc
Oh ok, cool, thanks Damon!:)
You are welcome.