Question

Which graph shows the circle with equation x2 + (y- 4)2 =16

Answer 1

Answer:

The graph in the attached figure

Step-by-step explanation:

we know that

The equation of the circle into center radius form is equal to

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

where

(h,k) is the center of the circle

r is the radius of the circle

In this problem we have

$(x)^{2}+(y-4)^{2}=16$

$(x)^{2}+(y-4)^{2}=4^{2}$

so

the center is the point $(0,4)$

the radius is $r=4\ units$

therefore

the graph in the attached figure