Question

Can someone help me with this?

Answer 1

`\huge\purple{ x^2 +(y+2)^2 = 4}`

Explanation:

Circle is centred at (0, -2)

-> h = 0 & k = - 2

radius of the circle (r) = y-coordinate of the center = - 2

Equation of circle in standard form is given as:

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

Plugging the values of h, k and r in the above equation, we find:

`(x-0)^2 +[y-(-2)]^2 = (-2)^2`

`\implies\huge\orange{ x^2 +(y+2)^2 = 4}`

This is the required equation of circle.