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Three Functions

Unit 6 ● Lesson 17 ● Activity 1

NO PEEKING!

Draw one period of sine, cosine and tangent from memory

Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Illustrative Mathematics.

Warm-up

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Comparing Transformations

Unit 6

Lesson 17

Trigonometric Functions

Expressions and Equations

ALGEBRA 2

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Unit 6 ● Lesson 17

  • I can create an equation of a trigonometric function using information about its graph.

Learning

Targets

Algebra 2

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Writing Equations

Write an equation that matches this graph.

Midline:

Amplitude:

Period:

Sine or Cosine?:

Horizontal Translation:

Is it unique?

Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Illustrative Mathematics.

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Writing Equations

Write an equation that matches this graph.

Midline:

Amplitude:

Period:

Sine or Cosine?:

Horizontal Translation:

Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Illustrative Mathematics.

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Write an equation that matches this graph.

Midline:

Amplitude:

Period:

Sine or Cosine?:

Horizontal Translation:

Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Illustrative Mathematics.

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Comparing Transformations

Unit 6 ● Lesson 17

Describe how to transform the graph of the original function to match the new function by only reading the equations and not doing any graphing.

Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Illustrative Mathematics.

Lesson Synthesis

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Follow the Moves

Unit 6 ● Lesson 17 ● Activity 4

Let f(x) = 5 sin(x). Describe the graph of each of the following in terms of the graph of f.

  1. g(x) = 5 sin(x) + 4
  2. h(x) = 5 sin(x + 𝜋)
  3. k(x) = 20 sin(4x) + 10

Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Illustrative Mathematics.

Lesson Synthesis

Cool-down