Choose the statement that is true about the given quantities:
A: the amplitude of y = -4 sin x/2
B: the amplitude of y = 4 sin 4x
A) Quantity A is greater than B
B) Quantity B is greater than A
C) The two quantities are equal
D) The relationship cannot be determined from teh given information.
In the equation y= - 4 sin ` x/2` the amplitude is represented by the -4 as the standard equation is `y=a sin x`
In the equation y=4 sin 4x the amplitude is therefore represented by the 4.
The period would be changed by the `x/2 or the 4x` which follows in each case.
As amplitude is a distance which measures the distance between the peak and the trough or the maximum and minimum, it cannot be a negative quantity.
The negative graph is basically turned upside down.
The answer therefore is C. The two quantities are equal.