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$(x-a)^2 + (y-b)^2 = r^2 \text{(equation of circle )}$

 

where your:

a=-2      (x-a)^2=(x+2)^2

b=4        (y-b)^2=(y-4)^2

r=4         r^2=16

 

 

Here s your graph:

https://www.desmos.com/calculator/ivygaohoig

 

play with desmos and you will understand

Nice answer Solveit!

 

CPhill has nominated your answer here for the wrap.

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Congratulations :)