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Parent Function Transformations. Linear. Parent Function. Transformation Function. (b). Translation. Move down 4 unit. b moves up or down. Linear. Transformation Function. (m). (m). Stretch. Compression. Stretch by a factor of 2. Compressed by a factor of . m stretch and compress.
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Linear Parent Function Transformation Function (b) Translation Move down 4 unit b moves up or down
Linear Transformation Function (m) (m) Stretch Compression Stretch by a factor of 2 Compressed by a factor of m stretch and compress
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*** k---moves up or down
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 kmoves up or down
Quadratic (a) stretch (a) (a) Compression reflection Reflect over the x-axis Stretch by a factor of 2 compressed by a factor of
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
Stretch by a factor of 2 Reflect over the x-axis compressed by a factor of
Quadratic Parent Function Transformation Function (h) Horizontal Translation 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 kmoves up or down
Quadratic Transformation Function (a) stretch (a) (a) Compression reflection Reflect over the x-axis Stretch by a factor of 2 compressed by a factor of
Square Root Parent Function Transformation Function Horizontal Translation (h) Move right 4 unit Move left 5 units h moves left or right
Square Root Transformation Function vertical Translation (k) Move up 3 units Move down 8 units k moves up or down
Square Root Transformation Function (a) (a) (a) stretch Compression reflection Stretch by a factor of 2 Reflect over the x-axis compressed by a factor of
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 units k moves up or down
Absolute Value Transformation Function stretch (a) Stretch by a factor of 2 compressed by a factor of Compression (a) Reflect over the x-axis reflection (a)
Cubic Parent Function Transformation Function Horizontal Translation (h) Move right 4 units h moves left or right Move left 2 units
Cubic Transformation Function (k) vertical Translation Move up 5 units kmoves up or down Move down 3 units
Cubic Transformation Function (a) (a) (a) Compression stretch reflection Reflect over the x-axis Stretch by a factor of 4 compressed by a factor of
Rational Parent Function Transformation Function (h) Horizontal Translation Move right 4 units h moves left or right Move left 2 units
Rational Transformation Function (k) vertical Translation Move down 5 units kmoves up or down Move up 3 units
Rational Transformation Function stretch (a) (a) Compression compressed by a factor of Stretch by a factor of 5
Rational Transformation Function reflection (a) Reflect over the x-axis