What is the period of Y 3 sin 2x?

Use the form asin(bx−c)+d a sin ( b x – c ) + d to find the variables used to find the amplitude, period, phase shift, and vertical shift. Find the amplitude |a| . Find the period of 3sin(2x) 3 sin ( 2 x ) . The period of the function can be calculated using 2π|b| 2 π | b | .

How do you find the amplitude and period of a graph?

Amplitude is the distance between the center line of the function and the top or bottom of the function, and the period is the distance between two peaks of the graph, or the distance it takes for the entire graph to repeat. Using this equation: Amplitude =APeriod =2πBHorizontal shift to the left =CVertical shift =D.

What is the period of Y sin2x?

The period of y(x) = a sin (bx + c ) is #(2pi)/b.

What is a period graph?

The period is the length of the smallest interval that contains exactly one copy of the repeating pattern. So the period of or is . Any part of the graph that shows this pattern over one period is called a cycle. For example, the graph of on the interval is one cycle.

How do you write a period with amplitude and cosine?

1 Answer

1. In y=acos(b(x−c))+d :
2. • |a| is the amplitude. • 2πb is the period.
3. The amplitude is 3 , so a=3 .
4. The period is 2π3 , so we solve for b .
5. b=3.
6. The phase shift is +π9 , so c=π9 .
7. The vertical transformation is +4 , so d=4 .
8. ∴ The equation is y=3cos(3(x−π9))+4 , which can be written as y=3cos(3x−π3)+4.

What is the period of 2tanx?

The basic period for y=2tan(x) y = 2 tan ( x ) will occur at (−π2,π2) ( – π 2 , π 2 ) , where −π2 – π 2 and π2 π 2 are vertical asymptotes.

How do you graph y = sin 2x?

How do you graph y = sin 2x? Therefore, y = sin2x is basically the y = sinx graph but instead of having a period of 2π, it has a period of π. So what that means is that in y = sin2x, you will see two sinx graphs occurring.

What does y = sin2x mean?

Therefore, y = sin2x is basically the y = sinx graph but instead of having a period of 2π, it has a period of π. So what that means is that in y = sin2x, you will see two sinx graphs occurring. graph {sin (2x) [-10, 10, -5, 5]}

How does the sin graph pass through the x-axis?

The sin graph passes the x-axis as sin x = 0 there Period of the sine function is 2π The height of the curve at each point is equal to the line value of sine

Use the form asin(bx−c)+ d a sin ( b x – c) + d to find the variables used to find the amplitude, period, phase shift, and vertical shift. Find the amplitude |a| | a |.