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

true or false

The given statement is a False statement.

We know that the center of a hyperbola is the mid-point of the transverse axis of the hyperbola.

If the curves of hyperbola opens up and down such that the center is (h,k) then the symmetry of hyperbola is:

                             y=k

and if the curve opens to the right and to the left and the center is at (h,k) then the symmetry of hyperbola is:

                               x=h

Hence, the statement:

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

is FALSE.

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step-by-step explanation:

the x's and the y's both go up the same amount each time, therefore it will be a linear function because it will go in a straight line when drawn on a graph.

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