x^2 + (F(x))^2 = a^2
which is the equation for a circle of radius a centered at the origin. If only the positive root is taken, then you get only the upper half of the circle.
The picture is a plot for a=1.
F(x) = Sqrt(a^2 - X^2) What Does This Graph Look Like?
x^2 + (F(x))^2 = a^2
which is the equation for a circle of radius a centered at the origin. If only the positive root is taken, then you get only the upper half of the circle.
The picture is a plot for a=1.