Which of the following points represents the center of a circle whose equation is (x - 3)2 + (y - 2)2 = 16?

Answer:
A. (3,2)
Step-by-step explanation:
To find the center of a circle on a quadratic equation all you have to do is to see what´s inside the parenthesis with the X and Y and then you equal that to "0", the number inside the parenthesis is the distance from the center of the circle to the center of the graph.
1. (x-3)= 0
2. x=3
1. (y-2)
2. Y=2
This means that the center of the circle is 3 units away on the positive x axis and the Y is 2 units away on the positive Y axis.
By comparing the given equation with the general equation for a circle, we will see that the center is at the point (3, 2)
We know that the general equation for a circle of radius R centered at the point (a, b) is given by:
(x - a)^2 + (y - b)^2 = R^2
Here the equation is:
(x - 3)^2 + (y - 2)^2 = 16
Comparing it with the general equation, we can see that:
Then the center of the circle is the point (3, 2).
If you want to learn more about circles, you can read:
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