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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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PowerPoint Slideshow about 'Parent Function Transformations' - radha


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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