Graphing Sine and Cosine Amplitude Horizontal & Vertical Shifts Period Length

Graphing Sine and Cosine  Complete this worksheet by using the following slides.worksheet  Graphing sine Graphing sine  Graphing cosine Graphing cosine

Graphing Sine RadiansSin( ) ? ? ? ? ? To graph the sine function we need to plot points we already know from our unit circle. Find the x and y coordinates of the following values. The x values represent the radians and the y values represent the sine values. Click each ? button to see if your answer is correct.

Parent Graph of Sine We need to plot the first point (0,0). Click to graph. Next we need to graph the point Click to graph. Plot and connect the rest of your points to create the parent function for Sine. Click here to graph Cosine Main menu

Graphing Cosine RadiansCos( ) To graph the cosine function we need to plot points we already know from our unit circle. Find the x and y coordinates of the following values. The x values represent the radians and the y values represent the sine values. Click each ? button to see if your answer is correct. ? ? ? ? ?

Parent Graph of Cosine We need to plot the first point (0,1). Click to graph. Next we need to graph the point Click to graph. Plot and connect the rest of your points to create the parent function for Cosine. Click here to graph Sine Main menu

Amplitude  In this section complete this worksheet. worksheet  First use the general information to help you.general information  Next, use the video to help you understand how to graph.video

Amplitude general information  In standard form, the a represents the amplitude. Amplitude is the distance from the midpoint to the highest or lowest point on the graph. Steps to graph an amplitude change: 1. Graph the parent function. 2. Multiply each y coordinate by the amplitude. 3. Plot each new point with the original x value and new y value.

Graphing a change in amplitude Watch and take notes on this video. Then try the two practice problems on your worksheet. Main menu

Period Length  In this section complete this worksheet. worksheet  First use the general information to help you.general information  Next, use the video to help you understand how to graph.video

Period length general information  In standard form, the b represents the period length. Period length is the distance between any two repeating points on the graph. Steps to graph a period length change: 1. Graph the parent function. 2. Multiply each x coordinate by the reciprocal of the b value. 3. Plot each new point with the original y value and new x value.

Graphing a change in period length Watch and take notes on this video. Then try the two practice problems on your worksheet. Main menu

Horizontal Shift  In this section complete this worksheet. worksheet  First use the general information to help you.general information  Next, use the video to help you understand how to graph.video

Horizontal shift general information  In standard form, the c represents the horizontal shift. Horizontal shift is the distance moved left or right from the original function. Steps to graph a horizontal shift: 1. Graph the parent function. 2. Move each x value left (subtract) or right (add) by the value of c. 3. Plot each new point and connect the lines.

Graphing a horizontal shift Watch and take notes on this video. Then try the two practice problems on your worksheet. Main menu

Vertical Shift  In this section complete this worksheet. worksheet  First use the general information to help you.general information  Next, use the video to help you understand how to graph.video

Vertical shift general information  In standard form, the d represents the vertical shift. Vertical shift is the distance moved up or down from the original function. Steps to graph a vertical shift: 1. Graph the parent function. 2. Move each y value up(+) or down(-) by the value of d. 3. Plot each new point and connect the lines.

Graphing a vertical shift Watch and take notes on this video. Then try the two practice problems on your worksheet. Main menu