Final answer:
The standard form of the equation of a circle with radius 3 and center at (0, -3) is x² + (y + 3)² = 9.
Step-by-step explanation:
To write the standard form of the equation of a circle with a radius of 3 and center at (0, -3), we use the general equation for a circle centered at (h, k) with radius r:
(x - h)² + (y - k)² = r²
Plugging in the given values, h = 0 and k = -3, and the radius r = 3, we get:
(x - 0)² + (y - (-3))² = 3²
Simplify this equation to find the standard form:
x² + (y + 3)² = 9