Radical Functions Algebra

Given the function, which of the following correctly describes the transformations?

• reflection over the x-axis, vertical stretch by 3, horizontal shift left 1 and vertical shift down 5

• reflection over the y-axis, vertical stretch by 1/3, horizontal shift left 1 and vertical shift down 5

• reflection over the x-axis, vertical compression by 1/3, horizontal shift left 1 and vertical shift down 5

• reflection over the x-axis, vertical stretch by 1/3, horizontal shift right 1 and vertical shift down 5

Graph the function. Identify the domain and range of the function.
f\left(x\right)=\sqrt{x}+4

• The domain is x ≥ 0.
  The range is y ≥ 4.

• The domain is x ≥ 4.
  The range is y ≥ 0.

• The domain is x ≤ 0.
  The range is y ≤ 4.
  

• The domain is x ≤ 4.
  The range is y ≤ 0.

• A

• B

• C

• D

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.

• A
• B
• C
• D

• A
• B
• C
• D

• A
• B
• C
• D

• A
• B
• C
• D

• A

• B

• C

• D

• A

• B

• C

• D