A right triangle is shown in the graph. right triangle on coordinate plane with hypotenuse labeled h and one endpoint of hypotenuse at f comma g and the other endpoint at x comma y, vertical line from point x comma y and horizontal line from f comma g that meet at right angle of triangle, horizontal dotted line from point f comma g to point g on y axis, horizontal dotted line from point x comma y to point y on y axis, vertical dotted line from point f comma g to point f on x axis, and vertical dotted line from right angle to point x on x axis Part A: Use the Pythagorean Theorem to derive the standard equation of the circle, with center at (f, g) and a point on the circle at (x, y). Show all necessary math work. (3 points) Part B: If (f, g) = (3, -1) and h = 8, determine the domain and range of the circle. (4 points) Part C: Is the point (10, -4) inside the border of the circle if (f, g) = (3, -1) and h = 8? Explain using mathematical evidence. (3 points)