Final answer:
The equation of a circle with center at (-3, 2) and radius of 7 is written in standard form as (x + 3)² + (y - 2)² = 49, which corresponds to a conic section known as a circle.
Step-by-step explanation:
The correct answer to the question is A) Conic: Circle, Standard Form: (x + 3)² + (y - 2)² = 49. To write the equation of a circle in standard form, we use the formula (x - h)² + (y - k)² = r², where (h, k) is the center of the circle and r is the radius. Since we're given the center of the circle at (-3, 2) and a radius of 7, we plug these values into the formula and get (x - (-3))² + (y - 2)² = 7², which simplifies to (x + 3)² + (y - 2)² = 49. Therefore, the correct standard form equation of this circle is as stated in option A, which represents a conic section known as a circle.