Monday, March 31, 2014

Hyperbolas

I was not here for this day in class and therefore have not much of an idea what is going on in this lesson. However thank God for these math blogs because i was able to look at my good friend Grace Kims math blog for some help in understanding. 
Here is what i learned!:

Center
The center will be (h,k)

Vertices
The vertices will be a units from the center point.
When the hyperbola is vertical...subtract/add a to the y value.
When the hyperbola is horizontal...subtract/add a to the x value.

Foci
The foci will be c units from the center point.
When the hyperbola is vertical...subtract/add c to the y value.
When the hyperbola is horizontal...subtract/add c to the x value.

Asymptotes
Use this formula to find the asymptotes:



 Graph the Equation. 
1. graph the vertices
2. count b from the center and draw points.
When the hyperbola is vertical...subtract/add b to the x value
When the hyperbola is horizontal...subtract/add b to the y value.
3. Draw a rectangle connecting these points.
4. Draw diagonal lines through the corners of the rectangle. These are your asymptotes.
5. Draw a hyperbola through the vertex, but not touching any of the asymptotes.

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