The function f (t) = 4t2 - 8t + 8 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 + 2; the minimum height of the roller coaster is 2 meters from the ground

(B) f (t) = 4 (t - 1) 2 + 2; the minimum height of the roller coaster is 4 meters from the ground

(C) f (t) = 4 (t - 1) 2 + 4; the minimum height of the roller coaster is 1 meter from the ground

(D) f (t) = 4 (t - 1) 2 + 4; the minimum height of the roller coaster is 4 meters from the ground

Question

Mathematics

Bruno Kirby

17 January, 15:28

The function f (t) = 4t2 - 8t + 8 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 + 2; the minimum height of the roller coaster is 2 meters from the ground

(B) f (t) = 4 (t - 1) 2 + 2; the minimum height of the roller coaster is 4 meters from the ground

(C) f (t) = 4 (t - 1) 2 + 4; the minimum height of the roller coaster is 1 meter from the ground

(D) f (t) = 4 (t - 1) 2 + 4; the minimum height of the roller coaster is 4 meters from the ground

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Vanessa Stuart · Answer 1

The function f (t) = 4t2 - 8t + 8 shows the height from the ground f (t), in meters, of a roller coaster car at different times t. The f (t) in the vertex form a (x - h) 2 + k, where a, h, and k are integers, is f (t) = 4 (t - 1) 2 + 4; the minimum height of the roller coaster is 4 meters from the ground. The answer is letter D.