Question

Write a standard equation for the circle
x²+y²+4y=12

Answer 1

u do it

Explanation:

Answer 2

x² + (y + 2)² = 16

Explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r the radius

Given

x² + y² + 4y = 12

Using the method of completing the square

add ( half the coefficient of the y- term)² to y² + 4y

x² + y² + 2(2)y + 4 = 12 + 4

x² + (y + 2)² = 16 ← in standard form

with centre (0, - 2 ) and radius = 4