Question

What are the coordinates of the center of the circle described by the equation x^2+(y+5)^2=16

Answer 1

centre = (0, - 5)

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 is the radius

x² + (y + 5)² = 16 is in this form

with (h, k) = (0, - 5) ← centre