Graphing and Transforming 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

  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.HSF.BF.B.3

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, ∞)

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

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.HSF-IF.C.7B

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

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.HSF.BF.B.3

What is the range of ALL cubic functions? Select all that apply!

• [-∞, ∞]

• (-∞, ∞)

• -∞ ≤ y ≤ ∞

• -∞ < y < ∞

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

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

• (-3, -1)

• (0, -4)

• (-1, -3)

• (0, 0)