Cubic Transformations and Graphing

What is the factored form for the following cubic function?

• 2x(x - 3)(x - 4)

• 2x(x + 3)(x + 4)

• 2x(x - 3)(x + 4)

• (x + 3)(x - 3)(x - 4)

Tags

CCSS.HSA.APR.B.3

If f(x) = ∛(x) is reflected over the x-axis, vertically shrunk by a factor of 1/4, and shifted left 9, which equation is correct?

• 1/4 ∛(x + 9)

• 1/4 ∛(x - 9)

• - 1/4 ∛(x + 9)

• - 1/4 ∛(x - 9)

Tags

CCSS.HSF.BF.B.3

Which of the facts is not true about the graph shown?

• The range is all real numbers.

• The function has been shifted 6 units right.

• The function has been shifted up 1 unit

• The function has been vertically stretched by a factor of 2.

Tags

CCSS.HSF-IF.C.7B

What transformations have occurred to get from the parent function f(x) to the transformed function g(x)?

• reflection over the x-axis,vertical shrink by a factor of -5

• reflection over the x-axis,vertical shrink by a factor of 1/5

• reflection over the x-axis,vertical stretch by a factor of 5

• reflection over the y-axis,vertical stretch by a factor of 5

Tags

CCSS.HSF.BF.B.3

What kind of function is represented by the graph?

• Cubic Root Function

• Cubic Function

• Polynomial Function

• Square Root Function

Tags

CCSS.HSF-IF.C.7B

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

• The end behavior of the graph is x →∞, f(x)→∞ and x→∞, f(x)→⁻∞

• The end behavior of the graph is x →∞, f(x)→∞ and x→⁻∞, f(x)→∞

• The end behavior of the graph is x →∞, f(x)→∞ and x→⁻∞, f(x)→0

• The end behavior of the graph is x →∞,f(x)→∞and x→⁻∞, f(x)→⁻∞

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.8.F.A.1

CCSS.HSF.IF.B.5

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 factored form for the following cubic function?

• 2x(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