Hyperbolas

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6 Questions

Which of the following equations represents the standard form of a hyperbola with a vertical transverse axis?

$x^2/a^2 - y^2/b^2 = 1$

Which of the following equations represents the standard form of a hyperbola with a horizontal transverse axis?

$x^2/a^2 - y^2/b^2 = 1$

Which of the following equations represents the standard form of a hyperbola with a vertical transverse axis and a center at $(h, k)$?

$(x-h)^2/a^2 - (y-k)^2/b^2 = 1$

Which of the following equations represents the standard form of a hyperbola with a horizontal transverse axis and a center at $(h, k)$?

$(x-h)^2/a^2 - (y-k)^2/b^2 = 1$

Which of the following equations represents the standard form of a hyperbola with a vertical transverse axis and a center at $(h, k)$?

$(y-k)^2/a^2 - (x-h)^2/b^2 = 1$

Which of the following equations represents the standard form of a hyperbola with a center at the origin and a transverse axis of length $2a$?

$x^2/a^2 - y^2/b^2 = 1$

Test your knowledge on hyperbolas and their standard form equations. Determine the standard form equation for a hyperbola with a vertical or horizontal transverse axis, as well as for a hyperbola with a specific center.

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