Derive the equation of the parabola with a focus at (2, −1) and a directrix of y = −1/2. A. f(x) = −(x + 2)2 − 3/4
B. f(x) = (x + 2)2 + 3/4
C. f(x) = −(x − 2)2 + 3/4
D. f(x) = −(x − 2)2 − 3/4

Part a : solve - vp + 40 < 65 for v . part b : solve 7w - 3r = 15 for r show your work!

1. a right triangle is graphed on a coordinate plane. find the length of the hypotenuse. round your answer to the nearest tenth. 2. use the angle relationship in the figure below to solve for the value of x. assume that lines a and b are parallel and line c is a transversal.

What is the distance between the points (2 -3) and (-6 4) on the coordinate plane