Transformations of Cubic Functions #1

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

The graph shows the function f(x)=x³ in blue and another function g(x) in red.  Which could be the equation for g(x)?

• A.  g(x) = -x³
• B.  g(x) = x³ - 1
• C.  g(x) = (x + 1)³
• D.  g(x) = (x - 1)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

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

• (-∞,∞)
• [0,∞)
• -∞<y<∞
• [-∞,∞]

Tags

CCSS.HSF.IF.B.5

CCSS.8.F.A.1

WHAT IS THE DOMAIN OF EVERY SINGLE CUBIC FUNCTION!?

• (-∞,∞)
• [0,∞)
• (-∞,0]
• [-∞,∞]

Tags

CCSS.HSF.IF.B.5

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

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

What is the factored form for the following cubic function?

• x(x - 3)(x - 4)
• x(x + 3)(x + 4)
• x(x - 3)(x + 4)
• (x + 3)(x - 3)(x - 4)

Tags

CCSS.HSA.APR.B.3

Which is the factored form of the polynomial function?

• (x-2)(x-1)(x+1)(x-2)
• (x-2)(x-1)(x+1)(x+2)
• (x-2)(x-1)(x+1)(x+2)(x-4)
• (x-2)(x-1)(x+1)(x+2)(x+4)

Tags

CCSS.HSA.APR.B.3