Given the information below, write the equation in Standard Form.

Circle:

Center (-2, 5)
Radius = 3

Step-by-step explanation:

Equation of a Circle

A circle in the plane is completely defined by two parameters: center and radius. If we know the center is at the point (h,k) and the radius is r, then the equation of the circle is

However, that is not the standard form of an equation, we must ensure the equation is written as

First, let's find the equation by replacing the known parameters of the circle:

To find the standard form, we only need to expand the indicated operations and simplify:

Simplifying

correct answer:

i^31 = -i