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1-3 TRANSFORMING LINEAR FUNCTIONS CHAPTER 1

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WARM UP

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WARM UP ANSWER

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OBJECTIVES The student will be able to: Transform linear functions Solve problems involving linear transformations

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TRANSFORMING LINEAR FUNCTIONS

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There are four ways we can transform the linear function by : Just remember the x changes

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TRANSFORMING LINEAR FUNCTIONS Just remember y changes

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TRANSFORMING LINEAR FUNCTIONS Just remember y is the mirror so the one that changes is the x

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TRANSFORMING LINEAR FUNCTIONS Just remember x is the mirror so the one that changes is the y

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EXAMPLE 1

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EXAMPLE 2

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STUDENT PRACTICE EXAMPLE 3

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STUDENT PRACTICE EXAMPLE 4

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LETS COMBINE TRANSFORMATIONS EXAMPLE 5

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EXAMPLE 5 CONTINUE

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STRETCHES AND COMPRESSION Stretches and compressions change the slope of a linear function. If the line becomes steeper, the function has been stretched vertically or compressed horizontally. If the line becomes flatter, the function has been compressed vertically or stretched horizontally.

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STRETCHES AND COMPRESSIONS

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EXAMPLE 6

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STUDENT PRACTICE EXAMPLE 7 Let g(x) be a horizontal compression of f(x) = 5x - 2 by a factor of 1/3. Write the rule for g(x) and graph the function.

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NOW LETS PUT EVERYTHING TOGETHER

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EXAMPLE 8 CONTINUE

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STUDENT PRACTICE Do all worksheet

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HOMEWORK Page 28 from book problems 2 to 6 and 12 to14.

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CLOSURE Today we talked about transforming linear functions through translating and reflecting. Tomorrow we are going to see scatter plots and the best fit line.

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HAVE A GREAT DAY!!!

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