Conic Sections Exercises

Find the center, vertices, foci, and asymptotes of .

Hint

The hyperbola is horizontal, so the center, vertices, and foci will all be (0 ± x, 0).

Find the center, vertices, foci, and asymptotes of .

Hint

The equations for hyperbolas must equal 1.

Find the center, vertices, foci, and asymptotes of .

Hint

This is a vertical hyperbola. Only the y values will change between the center, vertices, and foci.

Find the equation of the vertical hyperbola that has:

Center: (0, -3), a = 3, b = 4

Hint

Don't make this more complicated than it needs to be.

Find the equation of the horizontal hyperbola that has:

Asymptote:

Hint

The hyperbola is horizontal, so x is our positive term.