Presentation on theme: "1-3 TRANSFORMING LINEAR FUNCTIONS CHAPTER 1. WARM UP."— Presentation transcript:
1-3 TRANSFORMING LINEAR FUNCTIONS CHAPTER 1
WARM UP ANSWER
OBJECTIVES The student will be able to: Transform linear functions Solve problems involving linear transformations
TRANSFORMING LINEAR FUNCTIONS
There are four ways we can transform the linear function by : Just remember the x changes
TRANSFORMING LINEAR FUNCTIONS Just remember y changes
TRANSFORMING LINEAR FUNCTIONS Just remember y is the mirror so the one that changes is the x
TRANSFORMING LINEAR FUNCTIONS Just remember x is the mirror so the one that changes is the y
STUDENT PRACTICE EXAMPLE 3
STUDENT PRACTICE EXAMPLE 4
LETS COMBINE TRANSFORMATIONS EXAMPLE 5
EXAMPLE 5 CONTINUE
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.
STRETCHES AND COMPRESSIONS
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.
NOW LETS PUT EVERYTHING TOGETHER
EXAMPLE 8 CONTINUE
STUDENT PRACTICE Do all worksheet
HOMEWORK Page 28 from book problems 2 to 6 and 12 to14.
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.