Find the center and radius of the circle.

Equation: x^2 + (y+7)^2=4

Formula for center at the origin is x^2+y^2=r^2

Is this what I use and how do I go about this?

To find the center and radius of a circle, you are on the right track by using the equation of a circle in the standard form (x - h)^2 + (y - k)^2 = r^2, where (h, k) represents the center of the circle and r is the radius.

In your given equation, x^2 + (y + 7)^2 = 4, you can identify that the squared terms are already in the correct form. The equation can be rewritten as (x - 0)^2 + (y + 7)^2 = 4.

Comparing this equation with the standard form of a circle, you can see that the center of the circle is at the point (h, k) = (0, -7), and the radius squared is r^2 = 4. From this, you can conclude that the center of the circle is located at the origin (0, -7), and the radius of the circle is simply the square root of 4, which is 2.

So, to summarize:
Center: (0, -7)
Radius: 2