Cubic Transformations

Cubic Transformations

Multiple Select

 $f\left(x\right)=\left(x-2\right)^3+3$  
What are the transformations? There is more than one answer.

• left 2

• right 2

• up 3

• down 3

Fill in the Blank

 $f\left(x\right)=\left(x-2\right)^3+3$  
What is the y-intercept? (0,_)

Multiple Choice

 $f\left(x\right)=\left(x-2\right)^3+3$  
What is the x-intercept? 

• (-5, 0)

• (.558, 0)

• (0,-5)

• (0, .558)

Multiple Choice

 $f\left(x\right)=\left(x-2\right)^3+3$  
What is the point of inflection?

• (-2,3)

• (2,3)

• (1, 2)

• (3,4)

Multiple Choice

 $f\left(x\right)=\left(x-2\right)^3+3$  
Given the interval [0,3], what is the minimum and maximum? 

• Min: -5

  
  Max: 4

• Min: 4

  
  Max: -5

• Min: 0
  
  Max: 3

• Min: 3

  
  

  Max: 0
  

Multiple Select

 $f\left(x\right)=-\left(x+2\right)^3-1$  
What are the transformations? There is more than one answer.

• left 2

• right 2

• up 1

• down 1

• reflection

Fill in the Blank

 $f\left(x\right)=-\left(x+2\right)^3-1$  
What is the y-intercept? (0,_)

Multiple Choice

 $f\left(x\right)=-\left(x+2\right)^3-1$  
What is the x-intercept? 

• (-9, 0)

• (-3, 0)

• (0,-0)

• (0, -3)

Multiple Choice

 $f\left(x\right)=-\left(x+2\right)^3-1$  
What is the point of inflection?

• (-1,-2)

• (-2,-1)

• (-3,0)

• (0,-3)

Multiple Choice

 $f\left(x\right)=-\left(x+2\right)^3-1$  
Given the interval [-3,-1], what is the minimum and maximum? 

• Min: 0

  
  Max: -2

• Min: -2

  
  Max: 0

• Min: -3
  
  Max: -1

• Min: -1

  
  

  Max: -3
  

Multiple Select

 $f\left(x\right)=x^3+3$  
What are the transformations? 

• left 3

• right 3

• up 3

• down 3

• reflection

Fill in the Blank

 $f\left(x\right)=x^3+3$  
What is the y-intercept? (0,_)

Multiple Choice

 $f\left(x\right)=x^3+3$  
What is the x-intercept? 

• (-1.442, 0)

• (3, 0)

• (0,-1.442)

• (0, 3)

Multiple Choice

 $f\left(x\right)=x^3+3$  
What is the point of inflection?

• (1,4)

• (0,3)

• (-1,2)

• (-2,-5)