Graphing Sine & Cosine Objectives: Be able to find the amplitude, period, stretch and shrink of sine & cosine. Be able to compare two curves. Be able to graph a sine & cosine curve. TS: Making Decisions After Reflection & Review Warm-Up: Given y = 4sin(2x), what is the amplitude and period? Think back to last year!!! Amplitude = Period =

Recall Period and Amplitude Amplitude = Phase Shift (horizontal translation) = Period = Vertical Translation = Graphs of f(x) = sin(x) & g(x) = cos(x)

What’s the amp, period, VT & PS?

Requirements of a graph: Both axes shown, labeled with correct variables, and appropriately scaled. One set of 5 key points (min, max and mid-line values) labeled for one period. Extend the graph 2 full periods (on a quiz it will be expected to be exactly 2 periods so as to show an understanding of what the period is). You also need to be able to identify the period length, amplitude, phase shift (a.k.a horizontal translation) and vertical translation (a.k.a the midline).

Graph

Graph

Graph

Graph

Notecard Activity/Practice On a scrap piece of paper, come up with a sine or cosine equation which you can graph. Graph your equation on the scrap paper. Check your answer with your calculator by changing your window to match the portion of the graph you have drawn. On the index card, put your equation on one side and the graph on the other side. (put your name, in small print, near the top of the card) Exchange cards with the student next to you and try their graph and check your answer using the back. Put your name on the card you completed. Repeat using a new card. Turn in the cards at the end of class.