Parent Function Transformations Linear Parent Function Transformation Function

  • Slides: 27
Download presentation
Parent Function Transformations

Parent Function Transformations

Linear Parent Function Transformation Function Translation (b) Move down 4 unit b moves up

Linear Parent Function Transformation Function Translation (b) Move down 4 unit b moves up or down

Linear Transformation Function Stretch (m) Stretch by a factor of 2 m stretch and

Linear Transformation Function Stretch (m) Stretch by a factor of 2 m stretch and compress Compression (m) Compressed by a factor of

Linear Transformation Function reflection (m) Reflect over the x-axis m reflection

Linear Transformation Function reflection (m) Reflect over the x-axis m reflection

Transformation Function a ---stretch ---compression ---reflect over x-axis h ---moves left or right ***opposite***

Transformation Function a ---stretch ---compression ---reflect over x-axis h ---moves left or right ***opposite*** k ---moves up or down

Quadratic Horizontal Translation (h) Move left 2 units Move right 4 units h moves

Quadratic Horizontal Translation (h) Move left 2 units Move right 4 units h moves left or right

vertical Translation (k) Move down 2 units Move up 5 units k moves up

vertical Translation (k) Move down 2 units Move up 5 units k moves up or down

Quadratic stretch (a) Stretch by a factor of 2 Compression (a) compressed by a

Quadratic stretch (a) Stretch by a factor of 2 Compression (a) compressed by a factor of reflection (a) Reflect over the x-axis

Square Root Move left 5 units Move right 4 unit h moves left or

Square Root Move left 5 units Move right 4 unit h moves left or right

Move up 3 units Move down 8 units k moves up or down

Move up 3 units Move down 8 units k moves up or down

Stretch by a factor of 2 compressed by a factor of Reflect over the

Stretch by a factor of 2 compressed by a factor of Reflect over the x-axis

Quadratic Parent Function Transformation Function Horizontal Translation (h) Move left 2 units Move right

Quadratic Parent Function Transformation Function Horizontal Translation (h) Move left 2 units Move right 4 units h moves left or right

Quadratic Transformation Function vertical Translation (k) Move down 2 units Move up 5 units

Quadratic Transformation Function vertical Translation (k) Move down 2 units Move up 5 units k moves up or down

Quadratic Transformation Function stretch (a) Stretch by a factor of 2 Compression (a) compressed

Quadratic Transformation Function stretch (a) Stretch by a factor of 2 Compression (a) compressed by a factor of reflection (a) Reflect over the x-axis

Square Root Parent Function Transformation Function Horizontal Translation (h) Move left 5 units Move

Square Root Parent Function Transformation Function Horizontal Translation (h) Move left 5 units Move right 4 unit h moves left or right

Square Root Transformation Function vertical Translation (k) Move up 3 units k moves up

Square Root Transformation Function vertical Translation (k) Move up 3 units k moves up or down Move down 8 units

Square Root Transformation Function stretch (a) Stretch by a factor of 2 Compression (a)

Square Root Transformation Function stretch (a) Stretch by a factor of 2 Compression (a) compressed by a factor of reflection (a) Reflect over the x-axis

Absolute Value Parent Function Transformation Function Horizontal Translation (h) Move right 5 units Move

Absolute Value Parent Function Transformation Function Horizontal Translation (h) Move right 5 units Move left 2 unit h moves left or right

Absolute Value Transformation Function vertical Translation (k) Move up 2 units Move down 4

Absolute Value Transformation Function vertical Translation (k) Move up 2 units Move down 4 units k moves up or down

Absolute Value Transformation Function stretch (a) Compression (a) reflection (a) Stretch by a factor

Absolute Value Transformation Function stretch (a) Compression (a) reflection (a) Stretch by a factor of 2 compressed by a factor of Reflect over the x-axis

Cubic Parent Function Transformation Function Horizontal Translation (h) Move right 4 units Move left

Cubic Parent Function Transformation Function Horizontal Translation (h) Move right 4 units Move left 2 units h moves left or right

Cubic Transformation Function vertical Translation (k) Move up 5 units Move down 3 units

Cubic Transformation Function vertical Translation (k) Move up 5 units Move down 3 units k moves up or down

Cubic Transformation Function stretch (a) Compression (a) reflection (a) Stretch by a factor of

Cubic Transformation Function stretch (a) Compression (a) reflection (a) Stretch by a factor of 4 compressed by a factor of Reflect over the x-axis

Rational Parent Function Transformation Function Horizontal Translation (h) Move right 4 units Move left

Rational Parent Function Transformation Function Horizontal Translation (h) Move right 4 units Move left 2 units h moves left or right

Rational Transformation Function vertical Translation (k) Move down 5 units Move up 3 units

Rational Transformation Function vertical Translation (k) Move down 5 units Move up 3 units k moves up or down

Rational Transformation Function stretch (a) Stretch by a factor of 5 Compression (a) compressed

Rational Transformation Function stretch (a) Stretch by a factor of 5 Compression (a) compressed by a factor of

Rational Transformation Function reflection (a) Reflect over the x-axis

Rational Transformation Function reflection (a) Reflect over the x-axis

Linear Function INTRO TO LINEAR FUNCTION Linear FunctionLinear Function INTRO TO LINEAR FUNCTION Linear Function
Parent Function Transformations Transformation Function a stretch compressionParent Function Transformations Transformation Function a stretch compression
Linear Transformations 3 1 Introduction to Linear TransformationsLinear Transformations 3 1 Introduction to Linear Transformations
Linear transformations A linear transformation changes the originalLinear transformations A linear transformation changes the original
Parent Function Transformations Translations and Dilations Transformations areParent Function Transformations Translations and Dilations Transformations are
Linear Transformation 2012 Pearson Education Inc Linear TransformationLinear Transformation 2012 Pearson Education Inc Linear Transformation
Linear Functions College Algebra Linear Function Linear FunctionLinear Functions College Algebra Linear Function Linear Function
Review Transformations CSE 681 Transformations Modeling transformations buildReview Transformations CSE 681 Transformations Modeling transformations build
Review Transformations Scale Translate Rotate Combining Transformations TransformationsReview Transformations Scale Translate Rotate Combining Transformations Transformations
Review Transformations CSE 681 Transformations Modeling transformations buildReview Transformations CSE 681 Transformations Modeling transformations build
Modeling Transformations 2 D Transformations 3 D TransformationsModeling Transformations 2 D Transformations 3 D Transformations
Review Transformations CSE 681 Transformations Modeling transformations buildReview Transformations CSE 681 Transformations Modeling transformations build
1 6 Transformations of Functions Transformations Review Transformations1 6 Transformations of Functions Transformations Review Transformations
Review Transformations CIS 681 Transformations Modeling transformations buildReview Transformations CIS 681 Transformations Modeling transformations build
Review Transformations CIS 681 Transformations Modeling transformations buildReview Transformations CIS 681 Transformations Modeling transformations build
SECTION 1 7 Transformations TRANSFORMATION CATEGORIES The transformationsSECTION 1 7 Transformations TRANSFORMATION CATEGORIES The transformations
Geometric Transformations General Transformations n A transformation mapsGeometric Transformations General Transformations n A transformation maps
Transformations Data Cleaning Linear nonlinear transformations 2 kindsTransformations Data Cleaning Linear nonlinear transformations 2 kinds
Transformations Data Cleaning Linear nonlinear transformations 2 kindsTransformations Data Cleaning Linear nonlinear transformations 2 kinds
Applications The General Linear Model Transformations Transformations toApplications The General Linear Model Transformations Transformations to
Transformations Transformation reexpression of a Variable Transformation ofTransformations Transformation reexpression of a Variable Transformation of
Fourier Transformations Fourier Transformation sine Fourier Transformation JPEGFourier Transformations Fourier Transformation sine Fourier Transformation JPEG
Similarity Transformations Advanced Geometry Transformation A transformation isSimilarity Transformations Advanced Geometry Transformation A transformation is
Transformations of Parent Functions Types of Transformations 1Transformations of Parent Functions Types of Transformations 1