Hyperbolas, not to be confused with those exaggerated statements called hyperboles, are one of my favorite types of Conic Sections.
Jenn, Founder Calcworkshop®, 15+ Years Experience (Licensed & Certified Teacher)
Hyperbolas look like two opposite facing parabolas but with some really distinguishing characteristics that sets them apart from them rest.
So what features do Hyperbolas have that are similar to other conics?
Well, Hyperbolas have centers (h,k), vertices, co-vertices, and foci just like other conics.
But what makes them special, or different, is that they have Oblique Asymptotes and when you look at their graph it’s like seeing double. Or as Purple Math says, it’s like looking at a mirror image.
Graph of Hyperbola
We will learn how easy it is to graph a Hyperbola and find all of it’s traits:
- center
- vertices
- co-vertices
- foci
- asymptotes
Yes, even finding those Oblique Asymptotes couldn’t be any easier when all you have to do is draw a box or rectangle connecting our vertices and co-vertices!
Together we will look at five examples where we will either be given a Hyperbola in Standard (h,k) Form or in General Form and then need to Complete the Square in order to graph, and find all characteristics including domain and range.
Gosh, they’re so much fun to draw! Just wait and see!
Hyperbola Conics – Video
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