Question

state whether the following statement is true or false. the center of the circle (x + 3)^2+(y - 2)^2 = 13 is (3, - 2). choose the correct answer below. true false

Explanation:

Step1: Recall circle - center formula

The standard form of a circle equation is $(x - a)^2+(y - b)^2 = r^2$, where $(a,b)$ is the center of the circle.

Step2: Identify the center from the given equation

For the circle $(x + 3)^2+(y - 2)^2=13$, we have $x-(- 3)^2+(y - 2)^2=13$. So the center is $(-3,2)$ not $(3,-2)$.

Answer:

False