# Choose the statement that is true about the given quantities:A: the amplitude of y = -4 sin x/2B: the amplitude of y = 4 sin 4xA) Quantity A is greater than BB) Quantity B is greater than AC) The...

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.

durbanville | High School Teacher | (Level 2) Educator Emeritus

Posted on

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.

Sources: