Final answer:
To find the equation of the hyperbola in standard form, determine the center, calculate the distances, and write the equation using the values.
Step-by-step explanation:
To find the equation of the hyperbola in standard form, we first need to determine the center of the hyperbola.
The center is the midpoint between the vertices, which is (-1+11)/2 = 5.
Next, we need to determine the distance between the center and vertices.
The distance is the absolute value of the difference in the x-coordinates or y-coordinates, so the distance is |11-5| = 6.
Now we can write the equation of the hyperbola in standard form:
(x-5)^2/a^2 - (y+5)^2/b^2 = 1
where a is the distance between the center and vertices, and b is the distance between the center and the asymptotes.