Graphs of Radical Functions

Identify the Range

• All Real Numbers

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. 

• 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

Identify the Transformations. 

• Down 2

• Up 2

• Reflection and stretch by 2

• Reflection and down 2

Describe the transformations of the graph shown. 

• Shifted down 4 units, vertically compressed by a factor of 3, and shifted 6 units left. 

• Shifted down 4 units, horizontal compression by a factor of 3, and shifted 6 units left. 

• Shifted down 4 units, vertically compressed by a factor of 3, and shifted 6 units right. 

• none of the above.

What transformations have occurred to get the graph of g(x) from the graph of f(x)?

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

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

Identify the Transformations. 

• Vertical stretch by 2 and down 4

• Horizontal compression by ½ and down 4

• Vertical stretch by 2 and up 4

• Horizontal compression by ½ and right 4

Which is the equation for the graph above?

Which is the equation for the graph above?