Complete the table for the parametric equations for t in [-1, 2]. x (t) = t y (t) = t² - 3 t x (t) y (t) -1 O 1 2

Johnstown Inclined Plane The JohnstownInclined Plane in Pennsylvania is one of the longestand steepest hoists in the world. The railway cars travela distance of 896.5 feet at an angle of approximately35.4°, rising to a height of 1693.5 feet above sea level.896.5 ft1693.5 feetabove sea level35.4° Not drawn to scale(a) Find the vertical rise of the inclined plane.(b) Find the elevation of the lower end of the inclinedplane.(c) The cars move up the mountain at a rate of 300 feetper minute. Find the rate at which they rise vertically.

Match each plot with the corresponding parametric equations. У c(t) = (2 – t, t2 - 9) - t3) c(t) = (t2 - 4, 8t – c(t) = (sin(t), -t) c(t) = (t2, cos(t)) c(t) (4t + 2, 3 – 3t) х

Identify the parametric equations that represent the graph of y = (5 – x)². O x (t) = t y (t) = (5 — t)² Ox (t) = t y (t) = (t + 5)² Ox (t) = t y (t) = (t - 5)² O x (t) = t y (t) = (5 - y)²