mod_1_assignment (1) - MATH 30-1 Function Transformations...

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MATH 30-1 Function Transformations Module One Module / Unit One - Assignment Booklet Student: __________________________________________________ Date Submitted: ___________________________________________
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Math 30-1: Module 1 Lesson Assignment 2 | P a g e
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Math 30-1: Module 1 Lesson Assignment 3 | P a g e Lesson 1: Horizontal and Vertical Translations 1. Sketch the graph of the following, given y f ( x ). a. y f ( x ) 4 b. y 2 f ( x 3) 2. Refer to the tile puzzle, Image Shuffle, from the beginning of the lesson on the moodle site. Describe what it means to move a tile located at ( x , y ) given the following: a. ( x , y ) ( x 2, y ) b. ( x , y ) ( x 3, y 1) 3. Use the graph to answer the following questions.
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Math 30-1: Module 1 Lesson Assignment 4 | P a g e a. Give an equation for the function y g ( x ) in the form y k f ( x h ). c. Give an equation of the function y f ( x ) in the form y k g ( x h ). 4. The world population is approximately seven billion and still rapidly growing. How would the following transformations change the meaning of the graph? Population Changes a. The graph is translated 300 units to the left. b. The graph is translated one billion units up.
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Math 30-1: Module 1 Lesson Assignment 5 | P a g e LESSON 1 SUMMARY Refer to the Key Ideas section on page 12 of your text Pre-Calculus 12 . A transformation is a change in the shape or position of a figure or relation. A translation is a type of transformation that causes a “slide” in the graph. The new graph is the same size, shape, and orientation as the original but in a different position. In a graph of the form y k = f ( x h ), k is the vertical translation from y = f ( x ). If k > 0, the translation is upwards . If k < 0, the translation is downwards. In a graph of the form y k = f ( x h ), h is the horizontal translation from y = f ( x ). If h > 0, the translation is to the right. If h < 0, the translation is to the left.
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Math 30-1: Module 1 Lesson Assignment 6 | P a g e Lesson 2: Reflections 1. Consider the completed face from the Focus section of the lesson. a. What type of reflection was used to complete the face? b. Sketch a diagram that could be completed using a different kind of reflection. c. What part(s) of the face in the diagram would represent an invariant point(s) of the reflection?
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Math 30-1: Module 1 Lesson Assignment 7 | P a g e 2. Use the graph of y f ( x ) to answer the following questions.
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