Hyperbola: Where's 'b' on the graph?

Where does the "b" in the standard hyperbola equation show up on its graph? The "a" is the vertex, but where's the "b"? In answering this student question, I also take the opportunity to do a quick review of hyperbola and ellipse.

Calc 2, AP Calc BC, College Algebra, Pre-Calc

0:00 Where's b on the graph of hyperbola?
2:54 Comparison with ellipse
3:41 Answer: The 'b' leads to the asymptotes

Видео Hyperbola: Where's 'b' on the graph? канала Vu Do Math