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).
Answer
Center: (0, 0)
Vertices: (-4, 0), (4, 0)
Foci: (-6.40, 0), (6.40)
Asymptotes:
The equations for hyperbolas must equal 1.
Center: (-1, 5)
Vertices: (-5, 5), (3, 5)
Foci: (-5.47, 5), (3.47, 5)
This is a vertical hyperbola. Only the y values will change between the center, vertices, and foci.
Center: (-1, -4)
Vertices: (-1, -5), (-1, -3)
Foci: (-1, -9.10), (-1, 1.10)
Find the equation of the vertical hyperbola that has:
Center: (0, -3), a = 3, b = 4
Don't make this more complicated than it needs to be.
Find the equation of the horizontal hyperbola that has:
Asymptote:
The hyperbola is horizontal, so x is our positive term.
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