Amine the table showing a truck's position at different times. mes(s) Position(m)
18
32
42
48
50
Which option correctly describes the motion of the truck?
The truck changes its position by the same amount every second.
The truck decreases its position by greater and greater amounts every second.
The truck speeds up as time increases, but it decreases its position.
The truck slows down as time increases, and it increases its position.

1.) g(x) = 2x - 14

2.) g(x) = 2x - 10

3.) g(x) = 8x + 24

4.) g(x) = 8x - 6

Step-by-step explanation:

You are given a function

F(x) = 2x - 6

1.) When a function shift to the left along x axis, you will add. But if it shifts right, you will subtract. Therefore

g(x) = 2(x - 4) - 6

Open the bracket

g(x) = 2x - 8 - 6

g(x) = 2x - 14

2.) Translation or shifting at y axis is vice versa of translation at x axis. Up is positive, down is negative. Therefore,

g(x) = 2x - 6 -4

g(x) = 2x - 10

3.) Compression of 1/4 along y axis will be the reciprocal of the value multiply by the function. The compressed function will be

g(x) = 4( 2x - 6 )

Open the bracket

g(x) = 8x + 24

4.) When you stretch along x axis, you will only multiply the value by coefficient of x. The stretch function along x axis will be

g(x) = (4) 2x - 6

g(x) = 8x - 6