Cubic and Cube Root Functions

What are the transformations?
y=(x-2)³+4

• Horz shift right 2      Vert shift up 4
• Horz shift left 2    Vert shift up 4
• Horz shift right 2      Vert shift down 4
• Horz shift left 2      Vert shift down 4

What transformations has the function undergone?

• reflect over y, vertical compression by 2, right 5, up 1
• reflect over x, vertical  compression by 2, left 5, up 1
• reflect over x, vertical stretch by 2, right 5, up 1
• reflect over y, vertical stretch by -2, right 5, up 1

Describe the transformation of the graph  y = -(x - 4)³ + 5

• Up 5 and Left 4 
• Reflect x-axis, Left 4, Up 5
• Reflect x-axis, Right 4, Up 5
• Right 4 and up 5

Which equation below is a cubic function translated left 4 units?

• y = x³ + 4
• y = (x + 4)³
• y = (x - 4)³
• y = 4x³

Which equation represents a parent function y = x³ translated 4 units to the right and 1 unit up?

• y = (x + 4)³ + 1
• y = (x - 4)³ + 1
• y = (x + 1)³ + 4
• y = (x - 1)³ + 4

WHAT IS THE RANGE OF EVERY SINGLE CUBIC FUNCTION expressed in interval notation!?

• (-∞,∞)
• [0,∞)
• -∞<y<∞
• [-∞,∞]

WHAT IS THE DOMAIN OF EVERY SINGLE CUBIC FUNCTION!?

• (-∞,∞)
• [0,∞)
• (-∞,0]
• [-∞,∞]

How did we transform from the parent function Y = X³?
y = -1/5(x - 1)³ + 7

• reflection across the x-axis, vertical compression, horizontal shift to the right 1, vertical shift 7 up
• vertical compression, horizontal shift left 1, vertical shift up 7
• reflection, horizontal shift 1 right, vertical shift 7 down
• no changes were made to y = x²

Identify the Transformations. 

• 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

What kind of function is represented by the graph?

• Cube Root Function
• Cubic Function
• Polynomial Function
• Square Root Function