A truck travels from a factory to a gas station in 5 minutes. It stops at the gas station for 1 minute. The truck then returns to the factory in 4 minutes. Which graph best represents the distance, y, in miles, of the truck from the factory for a certain amount of time, x, in minutes?

Step-by-step explanation:

d

step-by-step explanation:

by observation, we can see that the the graph is simply the graph of y = |x| that has been shifted 4 units downwards and 3 units to the left.

we can recognize in choice d :

y = | x + 3 |   - 4 (rewriting in general form)

y = | x - (- 3) |   - 4

the "-4 " term means   that the graph has been shifted by 4 units in the negative y direction

the "-3 " term means   that the graph has been shifted by 3 units in the negative x direction

this matches our observation of the graph described above.