Answer:
C: (4, 8)
Step-by-step explanation:
Rewrite the given equation x² - 8x = -y² + 16y - 44 in std. form:
x² - 8x + 16 - 16 + y² - 16y + 64 = 64 - 44, or
(x - 4)² + (y - 8)² = 64 - 44 + 16
Comparing this to (x - h)² + (y - k)² = 6²
we see that h = 4 and k = 8. The radius is 6. The center is at (4, 8) (Answer C).
