Answer:
The given statement is a False statement.
Explanation:
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.