Give the center and radius of the circle described by the
equation and graph the equation. Use the graph to identify
the relation’s domain and range.

What is the center of the circle?

Question

Give the center and radius of the circle described by the
equation and graph the equation. Use the graph to identify
the relation’s domain and range.

What is the center of the circle?

UpStudy AI · Accepted Answer

1. The general equation of a circle is given by  
   $$
   (x-h)^2 + (y-k)^2 = r^2
   $$
   where $$(h, k)$$ is the center and $$r$$ is the radius.

2. The given equation is  
   $$
   x^2 + (y-7)^2 = 4.
   $$
   This can be rewritten as  
   $$
   (x-0)^2 + (y-7)^2 = 4.
   $$

3. By comparing with the general equation, we find:
   - $$h = 0$$
   - $$k = 7$$
   - $$r^2 = 4$$ so $$r = 2$$.

4. Therefore, the center of the circle is $$(0, 7)$$.
The center of the circle is at (0, 7).

Upstudy AI Solution