Transformations Lesson

Translate 3 units up

Translate 3 units down

Translate 3 units right

Translate 3 units left

 $g\left(x\right)=f\left(x\right)+2$ 

 $g\left(x\right)=f\left(x+2\right)$ 

 $g\left(x\right)=f\left(x\right)-2$ 

 $g\left(x\right)=f\left(x-2\right)$ 

Translate 6 units up

Translate 6 units down

Translate 6 units right

Translate 6 units left

Translate 5 units up

Translate 5 units down

Translate 5 units right

Translate 5 units left

Horizontal stretch by a factor of 2

Horizontal compression by a factor of 1/2

$g\left(x\right)=\frac{1}{4}f\left(x\right)$

$g\left(x\right)=f\left(\frac{1}{4}x\right)$

$g\left(x\right)=4f\left(x\right)$

$g\left(x\right)=f\left(4x\right)$

 $g\left(x\right)=\frac{1}{9}x^2$ 

 $g\left(x\right)=\left(\frac{1}{9}x\right)^2$ 

 $g\left(x\right)=9x^2$ 

 $g\left(x\right)=\left(9x\right)^2$ 

Translate 3 left

Translate 3 right

Translate 4 down

Translate 4 up

Translate 1 left

Translate 1 up

Vertical stretch by a factor of 2

Horizontal compression by a factor of 1/2

Translate 2 units left

Vertical compression by a factor of 1/3

Vertical stretch by a factor of 3

Reflect over the x-axis

Translate 3 units down

Translate 5 down

Translate 5 right

Translate 5 left

Vertical stretch by a factor of 3

Vertical Compression by a factor of 1/3

Horizontal stretch by a factor of 4

Horizontal compression by a factor of 1/4

Vertical compression by a factor of 1/4

Translation 3 units right

Translation 3 units down