Attributes & Transformations of Cubic Functions

What transformations has the function undergone?

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

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

  What is the equation for the red function? 

• g(x)=x³+1
• g(x)=x³-1
• g(x)=(x-1)³
• g(x)=(x+1)³

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.REI.D.11

The graph of a function is shown.  What are the domain and range of this function?

• Domain: (-∞, ∞)
  Range: (-∞, 2]
• Domain: [2, ∞)
  Range: (-∞, ∞)
• Domain: (-∞, ∞)
  Range: (-∞, ∞)
• Domain: (-∞, 2]
  Range: [2, ∞)

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.5

If f(x) = x³ is changed to f(x) = - (x + 3)³ + 2, how is the graph transformed?

• 3 units right, 2 units up, reflected across the y-axis
• 3 units right, 2 units up, reflected across the x-axis
• 3 units left, 2 units up, reflected across the y-axis
• 3 units left, 2 units up, reflected across the x-axis

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

What is the equation of this function?

• f(x) = (x + 2)³
• f(x) = (x - 2)³
• f(x) = ∛(x + 2)
• f(x) = ∛(x - 2)

Tags

CCSS.HSA.REI.A.2

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Describe the transformation of the graph y = -2(x + 5)³

• Vertical compression by 2, Reflected over y-axis, Right 5

• Vertical stretch by 2, Reflected over x-axis, Left 5

• Vertical stretch by 2, Reflected over x-axis, Right 5

• Vertical compression by 2, reflected over y-axis, Left 5

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

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

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.C.7

The graph of  $y=x^3$  is graphed in blue.  Which of the following equations could be equation of the function graphed in red?

•  $y=\frac{1}{20}\left(x-2\right)^3+1$  

•  $y=\frac{1}{20}\left(x+2\right)^3+1$  

•  $y=20\left(x-2\right)^3+1$  

•  $y=20\left(x+2\right)^3+1$  

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the range of ALL cubic functions expressed as an inequality?

• [-∞, ∞]
• (-∞,∞)
• -∞≤y≤∞
• -∞<y< ∞

Tags

CCSS.HSA.CED.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the point of rotational symmetry for the following cubic function?

• (-3, -1)

• (0, -4)

• (-1, -3)

• (0, 0)

Tags

CCSS.HSA.REI.D.11