What is the equation of a circle with a center at (–2, 4) and a radius of 4?
\((x-a)^2 + (y-b)^2 = r^2 \text{(equation of circle )}\)
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
\((x-a)^2 + (y-b)^2 = r^2 \text{(equation of circle )}\)
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