Question

which of the following graphs matches the circle defined by this equation (x+2)^2+(y-4)^2=9

Answer 1

\(\large\color{black}{ (x-k)^2+(y-h)^2=r^2 }\)
is the standard equation of a circle, where
\(\large\color{black}{ \bullet }\) \(\large\color{black}{ (h,k) }\) is the center
\(\large\color{black}{ \bullet }\) \(\large\color{black}{ r }\) is the radius

Answer 2

okay, can you tell me the center of the circle?

Answer 3

the center of the circle x2+y2=1 is (0, 0). The center of the circle (x+2)2+(y-4)2=1 is mved up on 4 units (because of minus sign) and moved 2 units left (because of plus sign).

Answer 4

A?

Answer 5

so the center of the circle is (-2, 4)

Answer 6

yes it is

Answer 7

good job.