Parent Function Transformations Linear Parent Function Transformation Function

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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