Graph the circle (x + 2)2 + (y + 1)2 = 32. Label the center and at least four points on the circle.

Question

Graph the circle (x + 2)2  + (y + 1)2 = 32. Label the center and at least four points on the circle.

campbell_st · Answer

well the general from is 

$$(x - h)^2 + (y - k)^2 = r^2$$

(h, k) is the centre and r is the radius..

by comparing your equation, whats the centre of the circle.. and whats the radius..?

anonymous · Answer

The center will be -2,-1 but what do i do with the 32?

campbell_st · Answer

well you are looking at the radius as 

$$r = \sqrt{32} ...or.... r = 4\sqrt{2} $$

so the 4 points I'd plot on the circumference are 

$$x = -2\pm 4\sqrt{2} ...y = -1$$

and 

$$x = -2, ..y = -1 \pm 4\sqrt{2} $$


here is what I mean

|dw:1367220519241:dw|

you need the other 2 points. 

and it is a strange radius value.