Question

(x-1)^2+(y+4)^2=64

Answer 1

find the center and radius of the circle

Answer 2

lets manipulate the equation a little and try and get it into this form
(x-a)^2 + (y-b^)2 = r^2
we already have
(x-1)^2+(y+4)^2=64

can u change 64 into r^2?

Answer 3

(x-a)^2 + (y-b)^2 = r^2 is the standard form for a circle
where (a,b) is the centre of the circle and r is the radius.

note in your case its
(x-a)^2+(y+b)^2=r^2
and your centre would be (a, -b)

Answer 4

i don't get it