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.

54 kilometers per hour

step-by-step explanation:

according to rules:

1 km = 1000 meter

which means that 1 meter = 1/1000 km

1 hour = 3600 second [ as 1 hour = 60 min = 60 *60 seconds ]

which means that 1 second = 1/3600 hour

therefore, 1 kilometer/hour =

thus to convert 15 meter per second to kilometer per hour, we multiply 15 to 3.6 kilometer/hour.

15 meter/second=   which is the required answer.