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

**Step 1: Identify the Standard Form**

The standard form of a circle's equation is  
$$
(x-h)^2 + (y-k)^2 = r^2
$$  
where $$(h, k)$$ is the center and $$r$$ is the radius.

**Step 2: Compare with the Given Equation**

The given equation is  
$$
(x-2)^2 + (y-4)^2 = 16
$$  
By comparison, we see that  
$$
h = 2 \quad \text{and} \quad k = 4
$$

**Step 3: State the Center**

Thus, the center of the circle is  
$$
(2, 4)
$$
The center of the circle is at (2, 4).

Upstudy AI Solution