An object undergoes simple harmonic motion along the x-axis shown above, where x = 0 is the object's equilibrium position. Which of the following graphs best shows the relationship between the object's acceleration a and its displacement x from equilibrium? (Assume positive acceleration to be directed to the right.)

  see below

Explanation:

Simple harmonic motion is described by a differential equation in which acceleration is proportional to the opposite of displacement. The displacement-acceleration graph looks like a line with negative slope.

carla slowed down in the beginning of her trip, stopped, and then sped up

i think the answer would be reserve.