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

; the minimum height of the roller coaster is 4 meters from the ground.

Step-by-step explanation:

Given: function shows the height from the ground f(t), in meters, of a roller coaster car at different times t.

In vertex form

For , the minimum height put t=1, we get

∴ The minimum height of the roller coaster is 4 meters from the ground= 4 meters.

answer: r there any options?

step-by-step explanation:

option: d is the correct answer.

d) none of the above.

step-by-step explanation:

clearly from the figure attached to the question we could see that there is no shape given. hence without any shape given in the figure and after rotation we can't obtained a square pyramid.

since, to obtain a image we need a proper figure of the pre-image so that it can be transformed.

hence, the correct answer is:

d) none of the above.

step-by-step explanation: