Question

I need this problem for my prep guide answered I will provide another picture with the rest of the answer options

Answer 1

We have an equation of a circle:

$(x+1)^2+(y+3)^2=16$

From the equation we can identify the center of the circle at coordinates (-1, -3) and a radius of 4 (which is the square root of 16).

Then, from the options, the only graph that match the center at (-1, -3) is the first option: