Posted by **Britney** on Saturday, June 13, 2009 at 7:57pm.

State the center and the radius of the circle represented by the equation

(x + 1)^2 + (y – 5)^2 = 64

- Algebra -
**Damon**, Saturday, June 13, 2009 at 7:59pm
If you tried to copy and paste, that does not work here.

- Algebra -
**Britney**, Saturday, June 13, 2009 at 8:00pm
State the center and the radius of the circle represented by the equation

(x + 1^2 + (y – 5)^2 = 64

- Algebra -
**Britney**, Saturday, June 13, 2009 at 8:05pm
I think the radius is 8 but am stuck on what the center represents here.

- Algebra -
**Damon**, Saturday, June 13, 2009 at 8:26pm
You mean (x+1)^2

Now this is the same both sides of x = -1

Like for x = -2 and for x = 0

in both cases (x+1)^2 = +1

In other words, x = -1 is an axis of symmetry and the circle center must lie on x = -1

Same thing for y = 5

so the center is at (-1,+5)

NOW

in general:

(x-h)^2 + (y-k)^2 = r^2

is circle with radius r

and center at (h,k)

- Algebra -
**Britney**, Saturday, June 13, 2009 at 8:29pm
I did get (-1,5) as well, but why is it -1 rather than 1? I was just wondering.

- Algebra -
**Damon**, Sunday, June 14, 2009 at 4:20am
(x-h) = (x+1)

so

-h = +1

h = -1

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