help plsss........

An accelerometer is made of a piece of wire with a bead on it that can slide on the wire with no friction. The wire is formed as a parabola y = kx². The bead rests at the lowest point of the parabola when it is at rest. When accelerated parallel to the x-axis the bead will climb up some on the wire. Find the relationship between the acceleration a of the wire and the bead’s maximum horizontal displacement x relative to the wire.