Derive the equation of the parabola with a focus at (0, 1) and a directrix of y = −1.
f(x) = -1/4 x^2
f(x) = 1/4 x^2
f(x) = −4x^2
f(x) = 4x^2

Jamie is hiking up a small mountain. he climbs up at a constant rate of 300 feet/hour until he reaches the peak at 1,500 feet. after that, he hikes down at the same rate to the base of the mountain. the equation that models jamie’s elevation, e, after t hours is e = . jamie’s elevation will be 600 feet after hours and after hours.

In need of in the diagram, ∠abc is a right angle. ∠dbc = 30°27'40". find the measure of ∠abd.

Someone me! if you’re smart you can solve this!