Conic Sections: Hyperbolas

think icon Think & Click: Graphing a Hyperbola Centered at the Origin

Now, you try. Complete the Think & Click activity by looking at each problem below, thinking about it, and then clicking on the question to reveal the solution.

What is the equation, vertices, co-vertices, foci and equations of the asymptotes of the following graph?
 

Equation: x squared divided by 9 minus y squared divided by 36 equals 1

Vertices: (-3, 0) and (3, 0)

Co-Vertices: (0, -6) and (0, 6)

Foci: (3 square root of 5, 0) and (-3 square root of 5, 0)

Asymptotes: y = ± 2x
 

hyperbola with center at (0, 0), opening left and right, vertical axis has length 12 and horizontal axis has length 6