AVE Square Root and Cube Root Graphs

Which function matches the graph?

• A

  f(x) = √(x - 4) - 2

• B

  f(x) = √(x + 2) - 4

• C

  f(x) = √(x - 2) - 4

• D

  f(x) = √(x + 4) - 2

What is the Domain for the graph?

• A

  -4 ≤ x < ∞

• B

  − ∞ < x ≤ -2

• C

  -2 ≤ x < ∞

• D

  − ∞ < x ≤ -4

Which function matches the graph?

• A

  f(x) = √(x - 1) + 3

• B

  f(x) = − √(x + 1) + 3

• C

  f(x) = √(-x + 1) + 3

• D

  f(x) = − √(x + 3) − 1

Which function matches the graph?

• A

  f(x) = ∛(x + 3) + 2

• B

  f(x) = − ∛(x - 3) + 2

• C

  f(x) = ∛(x - 3) + 2

• D

  f(x) = ∛(x - 2) + 3

Which function matches the graph?

• A

  f(x) = − ∛(x + 3) − 1

• B

  f(x) = − ∛(x - 3) − 1

• C

  f(x) = ∛(x + 3) − 1

• D

  f(x) = ∛(x - 1) + 3

What is a square?

• Something you multiply by the 3rd power
• A shape
• A number you multiply by itself

What is a square root

• A number to the second power
• A square that has roots on it
• Square roots are numbers that produce a specified quantity when multiplied by itself
  

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

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

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