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Warm up 1. Give an example of an even function? 2. Give and example of an odd function? 3. Graph y = x 2 + 3

Warm up 1. Give an example of an even function? 2. Give and example of an odd function? 3. Graph y = x 2 + 3

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Page 1: Warm up 1. Give an example of an even function? 2. Give and example of an odd function? 3. Graph y = x 2 + 3

Warm up1. Give an example of an even function? 2. Give and example of an odd function?

3. Graph y = x2 + 3

Page 2: Warm up 1. Give an example of an even function? 2. Give and example of an odd function? 3. Graph y = x 2 + 3

Math IV Lesson 27 • Essential Question: How do you sketch graphs of cosine and sine? • Standards: MM4A3. Students will investigate and use the graphs

of the six trigonometric functions. a. Understand and apply the six basic trigonometric functions as

functions of real numbers. b. Determine the characteristics of the graphs of the six basic

trigonometric functions. c. Graph transformations of trigonometric functions including

changing period, amplitude, phase shift, and vertical shift. d. Apply graphs of trigonometric functions in realistic contexts

involving periodic phenomena.

Page 3: Warm up 1. Give an example of an even function? 2. Give and example of an odd function? 3. Graph y = x 2 + 3
Page 4: Warm up 1. Give an example of an even function? 2. Give and example of an odd function? 3. Graph y = x 2 + 3
Page 5: Warm up 1. Give an example of an even function? 2. Give and example of an odd function? 3. Graph y = x 2 + 3
Page 6: Warm up 1. Give an example of an even function? 2. Give and example of an odd function? 3. Graph y = x 2 + 3
Page 7: Warm up 1. Give an example of an even function? 2. Give and example of an odd function? 3. Graph y = x 2 + 3

New Vocabulary• Trigonometric function- a function of an angle, or of an abstract

quantity, used in trigonometry, including the sine, cosine, tangent, cotangent, secant, and cosecant, and their hyperbolic counterparts.

• A function f is even if the graph of f is symmetric with respect to the y-axis. Algebraically, f is even if and only if f(-x) = f(x) for all x in the domain of f.

• Geometrically, the graph of an odd function has rotational symmetry with respect to the origin, meaning that its graph remains unchanged after rotation of 180 degrees about the origin.

• Period: the distance along the x-axis for one complete cycle• Amplitude: half the distance between the minimum and maximum

values of the range of a periodic function

Page 8: Warm up 1. Give an example of an even function? 2. Give and example of an odd function? 3. Graph y = x 2 + 3
Page 9: Warm up 1. Give an example of an even function? 2. Give and example of an odd function? 3. Graph y = x 2 + 3
Page 10: Warm up 1. Give an example of an even function? 2. Give and example of an odd function? 3. Graph y = x 2 + 3
Page 11: Warm up 1. Give an example of an even function? 2. Give and example of an odd function? 3. Graph y = x 2 + 3
Page 12: Warm up 1. Give an example of an even function? 2. Give and example of an odd function? 3. Graph y = x 2 + 3
Page 13: Warm up 1. Give an example of an even function? 2. Give and example of an odd function? 3. Graph y = x 2 + 3
Page 14: Warm up 1. Give an example of an even function? 2. Give and example of an odd function? 3. Graph y = x 2 + 3
Page 15: Warm up 1. Give an example of an even function? 2. Give and example of an odd function? 3. Graph y = x 2 + 3
Page 16: Warm up 1. Give an example of an even function? 2. Give and example of an odd function? 3. Graph y = x 2 + 3

Homework: Worksheet on graphing cosine


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