Graphing Sine

1
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

2
Recall Period and Amplitude
Amplitude Phase Shift
(horizontal translation) Period
Vertical Translation
Graphs of f(x) sin(x) g(x)
cos(x)
3
Whats the amp, period, VT PS?
4

• 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).

5
Graph
6
Graph
7
Graph
8
Graph
9
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.