The calm before the test ... it's a Pre-Test!

circles

(4) Write the equation for the graph shown at right.

The foci of a hyperbola are F1(6, 0) and F2(-6, 0), and the difference of the focal radii is 4 units. Use the definition of a hyperbola to derive the equation of this hyperbola.

Determine the equation of a parabola defined by the given conditions.

The vertex is V(-1, 3) and the equation of the directrix is x - 2 = 0

A rock is kicked off a vertical cliff and falls in a parabolic path to the water below. The cliff is 40 m high and the rock hits the water 10 m from the base of the cliff. What is the horizontal distance of the rock from the cliff face when the rock is at a height of 30 m above the water?