Determine if the graph of the equation below is a parabola, circle, ellipse, hyperbola, point, line, two lines, or empty. Enter the most specific answer.
(x/2 - 3)^2 + (y/2 + 5)^2 = 10^2
This is of the form X2 + Y2 = R2 making it a circle.
Replacing X with x/2 - 3 (or using any other constants for multiplying or dividing the x-term and adding or subtracting any constant from the x-term within the set of parentheses) does not change the form.
What can change the form is replacing the "+" sign with a "-" sign between the terms or multiplying or dividing the X2 and Y2 terms (outside the set of parentheses).