7
hyperbolas
1
Introduction
When looking at double cones, a hyperbola will be created if the plane cuts through both cones. A hyperbola is the
set of all points P in the plane such that the difference betweenthe distances from P to two fixed points is given constant. The equation of a hyperbola should be in the form:
3
Practice Identifying
Now you will use a desmos manipulative to identify how h and k effect the equation the graph of the hyperpola.
Click the hyperbola graphs below. It will take you to the desmos site. Slide the blue bottom under h or k.
How did the h and k effect the graph? Did it have the same effect as the other conic equation?
2
Practice Graphing
Using desmos.com, type the following ellipse equations into the graphing calucaltor.
Compare and contrast graph 1 and 2.
4
Your Turn
Now try graphing the following equations on graph paper. Label the center, the vertieces, and two additional points for
each equation. You can check your answers usiing the desmos online graphing calculator or in the back of this book.