Respuesta :
Answer:
Amplitude = -3
Period = [tex]\frac{2\pi}{4}=\frac{\pi}{2}[/tex]
Frequency = [tex]\frac{1}{\pi/2}=\frac{2}{\pi}[/tex]
Vertical Shift = 6.
Step-by-step explanation:
Consider the function:
[tex]y=A\ sin (B(x+C))+D[/tex]
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.
[tex]\text{Frequency}=\frac{1}{Period}[/tex]
The function provided is:
[tex]y=-3\ cos\ 4x+6[/tex]
On comparing the provided function with the general one it can be determined that:
Amplitude = -3
Period = [tex]\frac{2\pi}{4}=\frac{\pi}{2}[/tex]
Frequency = [tex]\frac{1}{\pi/2}=\frac{2}{\pi}[/tex]
Vertical Shift = 6.
