Question

A car deceleraters at a constant rate as it approaches a red light. the velocity of the car in meters per second as it decelerates is modeled by the function, f(x) = -4x + 20, where x is time in seconds. after five seconds, the car reaches a complete stop.
which situation is appropriately modeled by reflecting f(x) across the x-axis?

a. the car immediately begins to accelerate at twice the same rate it had previously decelerated.

b. the car immediately begins to accelerate at the same rate it had previously decelerated.

c. the car begins to drive in reverse.

d. the car remains stopped.


please help and thank you!!

Answer 1

Reflected across the x-axis, the function becomes

... g(x) = -f(x) = -20 +4x

This models the situation in which the car is driving in reverse, is accelerating (velocity is becoming less negative), and comes to a stop in 5 seconds.

Of the choices offered, the best seems to be ...

... b. the car immediately begins to accelerate at the same rate it had previously decelerated.