Final answer:
The correct answer is option c. The center of the circle described by the equation (x + 2)² + (y - 3)² = 25 is (c) (-2, 3), which can be determined by taking the opposite signs of the coordinates inside the parentheses of the standard form equation.
Step-by-step explanation:
The student is asking about the center of a circle given its equation in standard form. In the equation of a circle (x - h)² + (y - k)² = r², the center is at the point (h, k) and the radius is r. When looking at the given equation (x + 2)² + (y - 3)² = 25, we can see that it is already in this standard form.
The value of h is obtained by taking the opposite sign of the x-coordinate inside the parentheses, which gives us h = -2. Similarly, the value of k is equal to the y-coordinate inside the parentheses, which is k = +3. Therefore, the center of the circle is at the point (-2, 3).
Thus, the correct option for the center of the circle is (c) (-2, 3).