Question

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 m

Answer 1

@iPwnBunnies

Answer 2

the first one

Answer 3

thats what i thought, but y?

Answer 4

4t2-8t+7=
=4[(t-1)2-1]+7
=4(t-1)2-4+7
=4(t-1)2+3

this is a translated parabola with a=4
traslation on x=+1
trasl. on y = +3

Answer 5

i should've just put it on a graph lol. thx

Answer 6

yes it would have been much simpler ;)