6-3

This week in advanced math we are learning how chapter 6 which is ellipses, conics, and hyperbolas. I don't find this very hard. All you need to do if follow the steps which you're teacher has given you. Today I will show you how to find an ellipse equation and all that good stuff.

**This is the form of an ellipse equation: x^2/a + y^2/b


Step or parts of ellipse equation:

1. Major axis is the variable with larger denominator.
2. Minor axis is the variable with smaller denominator.
3. Length of major is 2 times the square root of larger denominator
4. Length of minor is 2 times the square root of smaller denominator.
5. Vertex is square root of larger denominator.

If x is major you should use this (_,0) and (-_, 0).
If y is major you should use this (0,_) and (0, -_).

6. Other intercepts is square root of smaller denominator ( , ) opposite of vertex.
7. Focus is the smaller denominator = the larger denominator – the focus squared.

If x is major you should use this (0, focus).
If y is major you should use this (focus, 0).

EXAMPLE 1: Find all the parts of x^2/4 + y^2/16.
1. y
2. x
3. 8
4. 4
5. (0,4) (0,-4)
6. (2,0) (-2,0) 6. 7 = 16 – focus squared
focus = (0,3) (0,-3)

This is how you find the equation thingy or whatever to an ellipse.