Transformations of Parent Functions

Transformations of Parent Functions

Poll

How comfortable are you identifying the different kinds of parent functions?

• Extremely

• Somewhat

• Not Really

• Not at all

Match

Match the following:

• $$f\left(x\right)\ =\ \sqrt[3]{x}$$

• Quadratic Parent

• $$f\left(x\right)\ =\ x^3$$

Cubic Parent

Cubic Root Parent

Square Root Parent

• Cubic Parent

• Cubic Root Parent

• $$f\left(x\right)\ =\ x^2$$

• Square Root Parent

• $$f\left(x\right)\ =\ \left|x\right|$$

Dropdown

Describe the transformation on the parent function: $$f\left(x\right)\ =\ 2\left|x-3\right|-2$$ ​

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Dropdown

Describe the transformation on the parent function: $$f\left(x\right)\ =\ \frac{1}{2}\left(x+3\right)^2$$ ​ ​

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Math Response

What is the equation of the function shown in the graph?

Type answer here

Correct Answer: y=2x^3+1

Deg^°

Rad

Graphing

Transform the quadratic parent function to show that there is a vertical translation up 4 units, a horizontal translation left 2 units, and vertical reflection.

(Make sure one of the points is on the vertex, and the other a zero.)

Drag and Drop

What transformations were used to create the function? $$f\left(x\right)=\sqrt[3]{x}+3$$ ​

Placeholder

Drag these tiles and drop them in the correct blank above

Vertical shift up 3 units

Horizontal shift left 3 units

Reflection across the y-axis

Audio Response

What is the name of the parent function shown: $$f\left(x\right)\ =\ x^3$$

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Video Response

Given the general form to transform any function: a f [ b(x - h) ] + k, what does the a cause the function to do?

Open Video Recorder

Fill in the Blank

What is the name of the parent function shown in the graph?