Today we learned about hyperbolas. Hyperbolas are a set of all points (x,y) the difference of whose distances from two distinct points (foci) is constant. Hyperbolas consist of two parabolas that are equal, but are positive and negative. The vertices are equidistant from the center.
Here are some equations you need to know.
Your asymptotes are used so that you know the boundaries of your hyperbolas.
Here's an example:
Step one: Turn the equation into standard form.
Step two: Find your a, b, and center (h,k)
Step three: Find your vertices using a and b.
Step four: Draw a square around your vertices, this will help with your asymptotes.
Step five: Place your asymptotes by drawling lines from the corner of your square through the center.
Step six: Find your foci.
Thanks for outlining the steps! This can get a bit confusing.
ReplyDeleteThis was very helpful. Your handwriting is so neat. I have been asking this question forever, but what is eccentricity? We never seem to solve for it and I don't know what it means.
ReplyDeletegood job. This is really helpful. Good study material for test.
ReplyDelete