Cubic Model

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

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

Tags

CCSS.HSF.BF.B.3

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

Tags

CCSS.HSF.BF.B.3

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

Tags

CCSS.HSF.BF.B.3

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

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

Tags

CCSS.HSF.BF.B.3

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

Tags

CCSS.HSF.BF.B.3

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

Tags

CCSS.HSF.BF.B.3

Describe the transformation of the graph  
y = ½x³

• Vertical compression by 1/2
• Horizontal compression by 1/2
• Vertical stretch by 2
• Horizontal stretch by 2

Tags

CCSS.HSF.BF.B.3

Describe the transformation of the graph  
y = 2x³

• Vertical compression by 1/2
• Horizontal compression by 1/2
• Vertical stretch by 2
• Horizontal stretch by 2

Tags

CCSS.HSF.BF.B.3

Which is f^-1(x)?

• f^-1(x)=3∛(x-6)
• f^-1(x)=-6+3∛x
• f^-1(x)=∛(3x-18)
• f^-1(x)=3(x-6)³

Tags

CCSS.HSF-BF.B.4A