Question

The function f(t) = 4t^2 − 8t + 6 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

          The function f(t) = 4t^2 − 8t + 6 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

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Added by Robert R.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Allison Knapp

03/20/2023

Step 1

To do this, we can complete the square. We have: f(t) = 4(t^2 - 2t) + 6 Now, we need to add and subtract the square of half of the coefficient of the linear term (t) inside the parentheses. Half of the coefficient of the linear term is -1, and its square is 1. Show more…

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The function f(t) = 4t^2 − 8t + 6 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

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