Transformations of Square and Cube Root Functions

1.1d Intro to Functions

Square Root & Cube Root​

Multiple Choice

What is a square?

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

Multiple Choice

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
  

Multiple Choice

What does this symbol represent?

• square root

• divide by 2

• cube root

• greater than or less than

Multiple Choice

Name the parent function.

• cube root

• quadratic

• cubic

• square root

• linear

Multiple Choice

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

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

Multiple Choice

Describe the transformation.

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

Multiple Choice

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

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

Multiple Choice

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

• y = - √(x + 1)
• y = √(x + 1)
• y = - √(x) - 1
• y = - √(x) + 1

Multiple Choice

Name the parent function.

• cube root

• quadratic

• cubic

• square root

• linear

Multiple Choice

This graph represents which equation?

• $$f\left(x\right)=\sqrt[3]{x}-1$$  

• $$f\left(x\right)=\sqrt[3]{x}+1$$  

• $$f\left(x\right)=\sqrt[3]{x}-2$$  

• $$f\left(x\right)=\sqrt[3]{x}+2$$  

Multiple Choice

This graph represents which equation?

• $$f\left(x\right)=\sqrt[3]{x}-1$$  

• $$f\left(x\right)=\sqrt[3]{x}+1$$  

• $$f\left(x\right)=\sqrt[3]{x}-2$$  

• $$f\left(x\right)=\sqrt[3]{x}+2$$  

Multiple Choice

This graph represents which equation?

• $$f\left(x\right)=\sqrt[3]{\left(x+2\right)}$$  

• $$f\left(x\right)=\sqrt[3]{\left(x+1\right)}$$  

• $$f\left(x\right)=\sqrt[3]{\left(x-2\right)}$$  

• $$f\left(x\right)=\sqrt[3]{\left(x-1\right)}$$  

Multiple Choice

This graph represents which equation?

• $$f\left(x\right)=\sqrt[3]{\left(x+2\right)}$$  

• $$f\left(x\right)=\sqrt[3]{\left(x+1\right)}$$  

• $$f\left(x\right)=\sqrt[3]{\left(x-2\right)}$$  

• $$f\left(x\right)=\sqrt[3]{\left(x-1\right)}$$  

Thank you for your attention!

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I am glad we are on this adventure together!​