Question

What is the center of the circle described by the equation (x-6)² + (y + 5)² = 25?
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Answer 1

Answer: (6, -5)

Reason:

Rewrite the given equation into
`(x-6)^2 + (y-(-5))^2 = 5^2`

I changed the y+5 into y-(-5), and also replaced 25 with
`5^2`

Then compare that to the circle template of
`(x-h)^2 + (y-k)^2 = r^2`

We see that h = 6 and k = -5 to give a center of (h,k) = (6, -5)

Side note: the radius is r = 5 units