Optional 2 Practice

1) Two endpoints of a diameter of a circle are (1, 1) and (7, -7).  

Find the center and radius of the circle.

Initialize the values of 'x', 'y','radius' below.

2) A circle has general equation:   x^2 + y^2 + 4x - 6y - 3 = 0

What is the center and radius of the circle?

Initialize the values of 'x', 'y', 'radius' below.

3) A parabola has focus (3, 1/4) and directrix y = -1/4

Find the equation of the parabola in general form:  y = ax^2 + bx + c

Initialize the values of 'a', 'b', 'c' below.

4) A parabola has vertex (-4, 2) and focus (-4, 1).  Find the equation of the parabola in general form: y = ax^2 + bx + c

Initialize the values of 'a', 'b', 'c' below.

8) The foci of an ellipse are (3, 5) and (3, -3).  The "vertical radius", a' of the ellipse is 5.

Find the center (h, k) and the "horizontal radius", b' of the ellipse.

Initialize the values of 'h', 'k', 'b' below.