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 - equation 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.
For the given equation $(x + 3)^2+(y - 2)^2=13$, we can rewrite it as $(x-(-3))^2+(y - 2)^2=13$.

Step2: Identify the center

Comparing with the standard form, the center of the circle is $(-3,2)$ not $(3,-2)$.

Answer:

False