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FAKE5979
16.10.2019 •
Mathematics
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).
f(t) = 4(t − 1)2 + 3; the minimum height of the roller coaster is 3 meters from the ground
f(t) = 4(t − 1)2 + 3; the minimum height of the roller coaster is 1 meter from the ground
f(t) = 4(t − 1)2 + 2; the minimum height of the roller coaster is 2 meters from the ground
f(t) = 4(t − 1)2 + 2; the minimum height of the roller coaster is 1 meter from the ground
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Ответ:
f(t) = 4(t² - 2t) + 7
f(t) - 7 = 4(t² - 2t - __)
t² ⇒ t * t
2t ⇒ 2 * 1t
1² ⇒ 1 * 1
f(t) - 7 + 4(1) = 4(t² - 2t + 1)
(t-1)(t-1) = t(t-1) -1(t-1) = t² - t - t + 1 = t² - 2t + 1
f(t) = 4(t-1)² + 3
Ответ:
dunno do you know the answr??
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