Cube and Square Root Transformations

What are the transformations of this functions compared to the parent function?

• Shifted down 2

• Shifted up 2

• Shifted left 2

• Shifted right 2

Tags

CCSS.HSF.BF.B.3

What is the equation of the graph?

• y = √(x - 3)

• y = √(x) + 3

• y = √(x - 5) + 4

• y = √(x + 5) + 4

Tags

CCSS.HSF-IF.C.7B

Which of the following is the function shown in the graph?

• f(x)= -√(x+4) -2

• f(x)= √(x-4) -2

• f(x)= -√(x-4) -2

• f(x)= √(x+4) +2

Tags

CCSS.HSF-IF.C.7B

Find the equation that matches this graph.

Tags

CCSS.HSF-IF.C.7B

• 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

Tags

CCSS.HSF-IF.C.7B

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)

Tags

CCSS.HSF.BF.B.3

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. 

Tags

CCSS.HSF-IF.C.7B

Compare the functions.

• The graph of g is a translation 2 units left and a reflection in the x-axis of the graph of f.

• The graph of g is a translation 3 units right and there is no reflection in the x-axis of the graph of f.

• The graph of g is a translation 4 units left and a reflection in the x-axis of the graph of f.

• The graph of g is a translation 5 units left and there is no reflection in the x-axis of the graph of f.

Tags

CCSS.HSF.BF.B.3

Describe the transformations.

• Translate Right 2, Down 4

• Translate Left 2, Down 4

• Translate Left 2, Up 4

• Translate Right 2, Up 4

Tags

CCSS.HSF.BF.B.3

Which of the following is the function shown in the graph?

• y = √(x) + 2

• y = √(x) - 2

• y = √(x + 2)

• y = √(x - 2)

Tags

CCSS.HSF-IF.C.7B