Radical Equations/Inequalities & Graphing

Name the parent function.

• cube root

• quadratic

• cubic

• square root

• linear

Which function represents the given graph?

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Which of the following is the function shown in the graph?

• f(x)= -√(x+4) -2
• f(x)= √(x-4) -2
• f(x)= -√(x-4) -2
• f(x)= √(x+4) +2

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

Describe the transformation.

• Down 1
• Reflect over y-axis
• Up 1
• Reflect over x-axis

Which of these equations shifts a radical equation left 3 times?

• y = √(x) + 3
• y = √(x) - 3
• y = √(x + 3)
• y = √(x - 3)

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

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 by 2, and shifted right 5

• Reflected over the x-axis, vertical stretch by 2, and shifted left 5

• Shifted right 5, shifted down 2

Identify the DOMAIN and RANGE

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