Nicala's Post

In class we are working on chapter six we did three sections already. the sections we worked on are circles, ellipses, and hyperbolas. Ellipses and hyperbolas are basically the same expect the change in their formulas and hyperbolas have asymptotes and ellipses do not asymptotes. Ellipses have a oval like shape. The formula for its

x^2/a^2+y^2/b^2=1

The formula for an hyperbola is the same except the y or x is negative and that changes the formula. When your working with ellipses you are looking for the major, minor, length of major, length of minor, vertex, other intercepts, and the focus and depending on the instructions you graph.

example problem

x^2/4+y^2/16=1

1.major-y because 16 is bigger than 4

2.minor is x because 4 is smaller than 16.

3. length of major: 2 the square root of 16= 8

4. length of minor: 2 the square root of 4=4

5.vertex is the square to the major and put the answer in points= (0,4) &(0,-4)

6. the other intercept is the square root of the minor and put the answer in points= (2,0) &(-2,0)

7.focus is the both denominators equal to f squared. 4-16=f^2 and now solve like normal and it gives u an answer of f=2 the square root of 3 and you put your final in points. (0, 2 the square root of 3) & (0,-2 the square root of 3)

8. sketching the graph is option