This week, we started on chapter 6. It has to deal with circles, ellipses, and hyperbolas. So far it is pretty easy, cause the formulas and equations don't differ that much. Each one has a seven step process, and this basically helps you find all of the parts of the shape, and helps with plugging into the calculator, so that you can sketch the shape. Here's an example of finding the center and radius of a circle.
Ex. (x-3)^2 + (y+7)^2 = 19
C: (3,-7)
r= √19
Find all the parts of: x^2/4 + y^2/25 = 1
1. Major axis: y
2. Minor axis: x
3. Length of major: 2√25=10
4. Length of minor: 2√4=4
5. Vertex: (0,5) (0,-5)
6. Other intercept: (2,0) (-2,0)
7. Focus: 4=25-f^2 -21=-f^2 f=√21 (0,√21) (0,-√21)
That's about it for this review. The only difference in the other formulas, is that you have to find aymptotes. Otherwise, this chapter is very easy so far.
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