The Parent Function Graphs and Transformations

What are the transformations for the graph of
the parent function f(x) = √x  to the function above 

• Vertical Stretch by a factor of 2; translated down 5 units 

• Shifted right 2 units and down 5 units 

• Vertical stretch by a factor of 2; translated left 5 units

• Vertical stretch by a factor of 2; translated right one unit 

Name the parent function.

• cube root

• quadratic

• cubic

• square root

• linear

Describe the transformation.

• Down 1

• Reflect over y-axis

• Up 1

• Reflect over x-axis

What is the domain of the function in this graph?

• x ≤ 3

• x ≥ 3

• x ≤ 0

• x ≥ 0

What is the range of the function in this graph?

• y ≤ 3

• y ≥ 3

• y ≤ 0

• y ≥ 0

What are the transformations to the graph compared to the parent function?

• Shifted right 2, shifted up 3, and reflected over the y-axis

• Shifted left 2, shifted up 3, and reflected over the y-axis

• Shifted left 2, shifted up 3, and reflected over the x-axis

• Shifted right 2, shifted up 3, and reflected over the x-axis

• y ≥ 0
• x ≥ -2
• x ≤ -2
• y ≥ 2

• y ≤ 3
• x ≥ 2
• y ≥ 3
• x ≤ 2

Which is an equation that shifts the graph of the function above to the left 5 units?

• 
• 
• 
• 

What is the domain of this graph?

• x ≥ -1

• x ≤ -1

• x ≥ 0

• x ≤ 0