For the function Y=-3Cos4x +6 State the Amplitude, Period, Frequency, and Vertical Shift.

Amplitude = -3

Period =

Frequency =

Vertical Shift = 6.

Step-by-step explanation:

Consider the function:

Here,

A = amplitude; It is the measure of how high is the peak from the center line.

2π/B = period; A period is the distance between one peak to the next.

C = phase shift; it represents how far the function is shifted horizontally from the initial point.

D = vertical shift; it represents how far the function is shifted vertically from the initial point.

The frequency of a function is the number of times something happens per unit time.

The function provided is:

On comparing the provided function with the general one it can be determined that:

Amplitude = -3

Period =

Frequency =

Vertical Shift = 6.

f(x) has value 150 at x= 0

and 0 at x= 3

so d(f(x))/dt = slope = -150/3 = -50