The diameter of circle q terminates on the circumference of the circle at (0,3) and (0,-4). write the equation of the circle in standard form. show all of your work for full credit.

First, determine the center of the circle by getting the midpoint of the points given for the circumference.
                    midpoint = ((0 + 0)/2, (3 + -4)/2)
                          midpoint (0, -0.5)
Then, we get the radius by determining the distance from either of the circumferential point to the center. 
                        radius = √(0 -  0)² + (3 +4)²  = 7
The equation for the circle would be,
                        x² + (y + 0.5)² = 7²