Cubic Cube Root Relationships

What is the equation of the graph shown?

• y= (x-2)³ + 4

• y= (x+2)³ + 4

• y = - (x-2)³ + 4

• y= - (x+2)³ + 4

Identify the Transformations. 

• Down 2

• Up 2

• Reflection and stretch by 2

• Reflection and down 2

Identify the parameter changes on the parent functions. 

• Vertical stretch by 2 and down 4

• Horizontal compression by ½ and down 4

• Vertical stretch by 2 and up 4

• Horizontal compression by ½ and right 4

Describe the transformations of the graph shown. 

• Shifted down 4 units, vertically compressed by a factor of 3, and shifted 6 units left. 

• Shifted down 4 units, horizontal compression by a factor of 3, and shifted 6 units left. 

• Shifted down 4 units, vertically compressed by a factor of 3, and shifted 6 units right. 

• none of the above.

The inverse has been reflected over which line?

• y = x

• y =1

• y = 0

• y = x + 1

Solve for x; identify extraneous solutions (if any).

• x = 8

• x = - 41 1/3

• x = - 42

• no solution; x = 8 is extraneous

Solve the cube root equation

• -984

• 984

• 26

• -26

• None

Solve the cube root equation

• 900

• 990

• 0

• 90

• None

Solve the cube root equation

• 27

• 20

• 3

• 30

• None

Solve the cube root equation

• -125

• 125

• 25

• -25

• None