The function f(t) = 4t2 − 8t + 7 shows the height from the ground f(t), in meters, of a roller coaster car at different times t. write f(t) in the vertex form a(x − h)2 + k, where a, h, and k are integers, and interpret the vertex of f(t).
(a) f(t) = 4(t − 1)2 + 3; the minimum height of the roller coaster is 3 meters from the ground
(b) f(t) = 4(t − 1)2 + 3; the minimum height of the roller coaster is 1 meter from the ground
(c) f(t) = 4(t − 1)2 + 2; the minimum height of the roller coaster is 2 meters from the ground
(d) f(t) = 4(t − 1)2 + 2; the minimum height of the roller coaster is 1 meter from the ground