Slide 1Slide 2Slide 3Slide 4Slide 5Slide 6Slide 7Slide 8Slide 9Slide 10Slide 11Slide 12Slide 13Slide 14Slide 15Slide 163.5 Graphing Functions Using TransformationsChapter 3 Section 5: Graphing Functions Using TransformationsIn this section, we will…Identify Basic FunctionsGraph Functions Using TransformationsGive the Equation of a Graphed Function Using TransformationsReview: Match each graph to its function.1. reciprocal function 2. square function3. constant function4. cube root function5. linear function6. square root function7. absolute value function8. cube function3.5 Graphing Functions Using TransformationsGraphing a Function Using Transformations• Compare the graph of with• What happened?Rule:2( )g x x=-2( )f x x=3.5 Graphing Functions Using TransformationsGraphing a Function Using Transformations• Compare the graph of with• What happened?Rule:( )g x x= - ( )f x x=3.5 Graphing Functions Using TransformationsGraphing a Function Using Transformations• Compare the graph of and with• What happened?Rule:2( ) 3g x x= +2( ) 5h x x= -2( )f x x=3.5 Graphing Functions Using TransformationsGraphing a Function Using Transformations• Compare the graph of and with• What happened?Rule:( )2( ) 2g x x= -( )2( ) 4h x x= +2( )f x x=3.5 Graphing Functions Using TransformationsGraphing a Function Using Transformations• Compare the graph of and with• What happened?Rule:2( ) 3g x x=214( )h x x=2( )f x x=3.5 Graphing Functions Using TransformationsExample: Graph the given function using transformations on the base function.2( ) 4f x x= +base function:transformations:3.5 Graphing Functions Using TransformationsExample: Graph the given function using transformations on the base function.base function:transformations:3.5 Graphing Functions Using Transformations3( ) ( 2) 3g x x= + -Example: Graph the given function using transformations on the base function.base function:transformations:3.5 Graphing Functions Using Transformations3( )h x x=-Example: Graph the given function using transformations on the base function.base function:transformations:3.5 Graphing Functions Using Transformations( ) 1 3g x x= + -Example: Graph the given function using transformations on the base function.base function:transformations:3.5 Graphing Functions Using Transformations1( ) 2g xx= +-Example: Graph the given function using transformations on the base function.base function:transformations:3.5 Graphing Functions Using Transformations2( ) 3( 2) 1f x x= - +Example: Graph the given function using transformations on the base function.base function:transformations:3.5 Graphing Functions Using Transformations( ) 4 1h x x=- -Example: Identify the equation of the graph using transformations on the base function.3.5 Identifying Functions Using Transformations transformations: transformations:equation: equation: transformations: transformations:equation: equation:Independent Practice You learn math by doing math. The best way to learn math is to practice, practice, practice. The assigned homework examples provide you with an opportunity to practice. Be sure to complete every assigned problem (or more if you need additional practice). Check your answers to the odd-numbered problems in the back of the text to see whether you have correctly solved each problem; rework all problems that are incorrect.Read pp. 252-260Homework: pp. 261-264 #7-17 odds, 35-43 odds, 49-59 odds3.5 Graphing Functions Using