Question

What is the equation of the graph below?

Answer 1

`(x+2)^2+(y+4)^2=4`

Explanation:

The given graph is a circle which is centered at (-2,-4) and of radius 2.

The standard form of a circle is given by

`(x-h)^2+(y-k)^2=r^2`

Here (h,k) is the center and r is the radius.

Hence, we have

h = -2, k = -4 , r = 2

Therefore, equation of the circle is

`(x-(-2))^2+(y-(-4))^2=2^2\\\\(x+2)^2+(y+4)^2=4`