Question

how do I graph a conic?

Answer 1

you'll need the equation of the conic in standard form first... do you have an equation?

Answer 2

Yes! (x+6)^2/25 + (y-2)^2 =1 I do believe this is an ellipse

Answer 3

yes it is an ellipse...
(x-h)^2/a^2 + (y-k)^2/b^2 = 1 is the standard form for an ellipse where (h, k) is the center and 2a is your major axis 2b is your minor axis...

Answer 4

let's start what's your center?

Answer 5

would it be (-6, 2)?

Answer 6

good. what's a and b?

Answer 7

a is 2 b is -6

Answer 8

a comes from the denominator under the x^2 term. since a^2 is 25 that means a = 5... you follow?

Answer 9

yes!
so that means that b is 10?

Answer 10

is there a denominator under the y^2 term?

Answer 11

100

Answer 12

isn't it 1 ?

Answer 13

how? I thought it would be the square root of 100, making it 10?

Answer 14

this is what you typed in right?