Parent Graphs of Functions

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

• Shifted down 2

• Shifted up 2

• Shifted left 2

• Shifted right 2

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

• Shifted right 5, shifted down 2, and reflected over the x-axis

• Reflected over the x-axis, vertical stretch, and shifted right 5

• Reflected over the x-axis, vertical stretch, and shifted left 5

• Shifted right 5, shifted down 2

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

Which is the graph of the square root parent function?

• A

• B

• C

• D

y ≥ 0 x ≥ -2 x ≤ -2 y ≥ 2

• y ≥ 0

• x ≥ -2

• x ≤ -2

• y ≥ 2

• y ≤ 3
• x ≥ 2
• y ≥ 3
• x ≤ 2

• A
• B
• C
• D

Describe the transformation.

• Left 1unit, Reflect over x-axis, up 2 units

• Left 1unit, Reflect over y-axis, down 2 units

• Right 1 unit, Reflect over x-axis, up 2 units

• Right 1unit, Reflect over y-axis, up 2 units

Which of these equations shifts a radical equation right 5 times and down once?

• y = √(x - 5) - 1

• y = √(x + 5) - 1

• y = √(x - 5) + 1

• y = √(x + 5) + 1

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

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