Formula for Conics

[kazafz]

Hi there. I was recently looking through my notes on conics revising the different formulaes there are and I just wanted to know what the Vertix formula would be for an Ellipse where the center is not (0,0). Will the formula for the vertexes be V(h +- a, k) , V(h, k +- b) like for the Hyperbola? According to my notes I wrote that the formula for the vertices of a Hyperbola is the ones i stated above. I just want to verify that the equations i wrote are correct because I find this maths topic quite challenging. Thanks!

 

[skeeter]

\(\displaystyle \frac{(x - h)^2}{a^2} + \frac{(y-k)^2}{b^2} = 1\)

center is at (h,k)

length of horizontal axis = 2a

length of vertical axis = 2b

now, figure it out yourself and you will be more likely to remember it when you need it.

 

[kazafz]

\(\displaystyle \frac{(x - h)^2}{a^2} + \frac{(y-k)^2}{b^2} = 1\)

center is at (h,k)

length of horizontal axis = 2a

length of vertical axis = 2b

now, figure it out yourself and you will be more likely to remember it when you need it.

Yes, I know that equation already.