Vertical Stretches. To stretch a graph vertically, place a coefficient in front of the function. This coefficient is the amplitude of the function. For example, the amplitude of y = f (x) = sin(x) is one. The amplitude of y = f (x) = 3 sin(x) is three. Compare the two graphs below. The amplitude of the graph of any periodic function is one-half the absolute value of the sum of the maximum and minimum values of the function. Figure %: The sine curve is stretched vertically when multiplied by a coefficient.
In most cases, foot cramps are due to fatigue or stress on the foot. Overworked feet can lead to muscle spasms, especially if you are not getting enough water and nutrients. Foot cramps are most common among athletes and older adults, but they can occur to anyone at any age, including children.
This is especially seen during summers, if the person has been out in the sun, to do his exercise or for work. Problems, which affect the blood vessels are also known to cause ankle cramps. Peripheral arterial disease is one of the problems, which can cause leg cramps. Many times, when the person walks a short distance, he experiences severe cramps in the ankle. However, the problem subsides after taking sufficient amount of rest. Prolonged period of inactivity can also give rise to cramps in the leg.