Square Root Graphs and Their Features

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

• y ≥ 0
• x ≥ -2
• x ≤ -2
• y ≥ 2

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 is the range of this graph?

• y ≥ -1

• y ≤ -1

• y ≥ 0

• y ≤ 0

y ≤ 3 x ≥ 2 y ≥ 3 x ≤ 2

• y ≤ 3

• x ≥ 2

• y ≥ 3

• x ≤ 2

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

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