Question

What is the center of the hyperbola?
(1,-2)
(1,1) (1,3)
(1,6)

Answer 1

(1,3)

Explanation:

(h,k) = (1+1)/2, (-2+8)/2

= (1,3)

Answer 2

(1, 3)

Explanation:

The center of a hyperbola can be found by looking at the midpoint between the two vertices.

Here, the two vertices are (1, 8) and (1, -2). We use the Midpoint Formula to figure out the vertex:

Midpoint is:
`((1+1)/(2) ,(8+(-2))/(2) )=((2)/(2) ,(6)/(2) )=(1,3)`

Thus, the answer is (1, 3).

Hope this helps!