Transformations Lesson

Transformations Lesson

Multiple Choice

Describe the transformations: $g\left(x\right)=f\left(x+3\right)$  

• Translate 3 units up

• Translate 3 units down

• Translate 3 units right

• Translate 3 units left

Multiple Choice

Select the function g(x), that is the transformation of f(x) translated up 2 units

•  $g\left(x\right)=f\left(x\right)+2$ 

•  $g\left(x\right)=f\left(x+2\right)$ 

•  $g\left(x\right)=f\left(x\right)-2$ 

•  $g\left(x\right)=f\left(x-2\right)$ 

Multiple Choice

Describe the transformations: $g\left(x\right)=\left(x-6\right)^2$  

• Translate 6 units up

• Translate 6 units down

• Translate 6 units right

• Translate 6 units left

Multiple Choice

Describe the transformations: $g\left(x\right)=x^2-5$  

• Translate 5 units up

• Translate 5 units down

• Translate 5 units right

• Translate 5 units left

Multiple Choice

Describe the transformations of f(x) that produce the function g(x).

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

• Horizontal stretch by a factor of 2

• Horizontal compression by a factor of 1/2

Multiple Choice

Select the equation for g(x) that is f(x) with a vertical compression by a factor of 1/4.

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

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

• $g\left(x\right)=4f\left(x\right)$

• $g\left(x\right)=f\left(4x\right)$

Multiple Choice

Select the equation for g(x) that is  $f\left(x\right)=x^2$   with a vertical stretch by a factor of 9.

•  $g\left(x\right)=\frac{1}{9}x^2$ 

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

•  $g\left(x\right)=9x^2$ 

•  $g\left(x\right)=\left(9x\right)^2$ 

Multiple Select

Select ALL the transformations that have occurred to the function f(x) to produce g(x):

 $g\left(x\right)=f\left(x+3\right)-4$  

• Translate 3 left

• Translate 3 right

• Translate 4 down

• Translate 4 up

Multiple Select

Select ALL the transformations that have occurred to the function f(x) to produce g(x):

 $g\left(x\right)=2f\left(x\right)+1$  

• Translate 1 left

• Translate 1 up

• Vertical stretch by a factor of 2

• Horizontal compression by a factor of 1/2

Multiple Select

Select ALL the transformations that have occurred to the function f(x) to produce g(x):

 $g\left(x\right)=-3f\left(x+2\right)$  

• 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

Multiple Select

Select ALL the transformations that have occurred to the function  $f\left(x\right)=x^2$  to produce  $g\left(x\right)$ :

 $g\left(x\right)=3\left(x-5\right)^2$  

• Translate 5 down

• Translate 5 right

• Translate 5 left

• Vertical stretch by a factor of 3

• Vertical Compression by a factor of 1/3

Multiple Select

Select ALL the transformations that have occurred:

 $g\left(x\right)=\left(\frac{1}{4}x\right)^2-3$  

• 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

Poll

Please rate your understanding of transformations so far.

Open Ended

What are you still confused about?