The symmetry of a hyperbola with a center at (h, k) only occurs at y = k. True or False

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Mathematics

Joanna

1 March, 11:55

The symmetry of a hyperbola with a center at (h, k) only occurs at y = k. True or False

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Luis Marks · Answer 1

A hyperbola with a center at (0, 0) can be defined as x²/a² - y²/b² = ±1.

The statement " The symmetry of a hyperbola with a center at (h, k) only occurs at y = k" is false, because a hyperbola have many different orientations.

It doesn't have to be symmetric about the lines y = k or x = h.