What is center of the circle given by its equation (x-2)^2 + (y+4)^2=6?

(2,-4) is the center

Step-by-step explanation:

The standard form of a circle is where (h,k) is the center and r is the radius.

So if you compare

and

,

you should see that

which implies

which implies .

So the center is (h,k)=(2,-4).

The radius is .

boxplot e is the answer

look at the picture.

y-intercept for the function on a picture is 4 → point (0, 4).

y-intercept for the function

is for x = 0. substitute:

y-intercept is 8 → point (0, 8).