Cubes and Cube Roots Transformations

∛125

• 5

• 4

• 6

• 7

∛216

• 6

• 72

• 108

• 4

What is 2 cubed?

2³

• 8

• 6

• 4

• 16

What number, n, cubed is equal to 64?

n³ = 64

• 4

• 2

• 8

• 262,144

If f(x) = ∛(x) is reflected over the x-axis, vertically compressed 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)

What cube root function is transformed 2 units left, 5 units down, and 0.5 times the proportions of the parent function? *Choose 2 that apply

• 

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

• The range is y ∈ ℝ

• 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. 

Which equation is a cube root function that moves 3 units to the left and 7 units down from the PARENT function?

• h(x) = ∛(x + 3) - 1

• h(x) = ∛(x + 3) - 7

• h(x) = ∛(x - 7) + 1

• h(x) = ∛(x - 3)

• The range is y ≥ 1
• It has been reflected over the x-axis
• The function has been shifted up 1 unit
• The function has been shifted up 2 units