Intro to Function Transformation

Poll

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​Intro to Function Transformation

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I can statements:

​I can describe the transformation of one function to another function.

Match

Match the following

Translation

Rotation

Reflection

• Translation

• Rotation

• Reflection

Start with the person closest to the front of the room. In 30 seconds explain the three geometric transformations in the last slide to the person next to you.

​Take a second

Open Ended

Share one takeaway from your 30-second conversation.

It can be something you learned or something you already know.

Poll

How can the red image be mapped onto the blue image?

• By reflecting the image over the y-axis

• By reflecting the image over x = -3

• By translating the image 5 units to the left

• I'm not sure yet or I'm confused about the transformation concept.

Start with the person closest to the back of the room this time. Take 30-seconds to explain how you knew which transformation it was or what confused you about the transformation.

​Take a second

Open Ended

Share one takeaway from your 30-second conversation.

It can be something you learned or something you already know.

Poll

How can the red image be mapped onto the blue image?

• By reflecting the image over the x-axis

• By rotating the image 180 degrees.

• By translating the image 1 unit down

• I am not sure this one confused me.

Open Ended

Share one takeaway from our class discussion conversation.

It can be something you learned or something you already know.

Poll

How can the red image be mapped onto the blue image?

• By reflecting the image over the y-axis

• By rotating the image 90 degrees

• By translating the image 3 units down

• I am not sure this transformation confuses me.

Open Ended

What did you notice about the three function transformations?

​Graph to Function

​pre-image equation: f(x) = x

image equation: f(x) = x + 5​

​Written description:

The parent function f(x) = x is shifted 5 units to the left.

Match

Match the following equations with the written description of the transformation.

• $$f\left(x\right)=x^3$$  

  $$f\left(x\right)=-x^3$$  

   

• $$f\left(x\right)=x^3$$  

  $$f\left(x\right)=x^3-3$$  

• $$f\left(x\right)=x^3$$  

  $$f\left(x\right)=3x^3$$  

• $$f\left(x\right)=x^3$$  

  $$f\left(x\right)=\left(x+3\right)^3$$  

• $$f\left(x\right)=x^3$$  

  $$f\left(x\right)=\frac{1}{3}x^3$$  

The parent function is reflected over the x-axis.

The parent function is shifted 3 units down.

The parent function is vertically stretched by a factor of 3.

The parent function is shifted to the left 3 units.

The parent function is vertically compressed by a factor of 1/3.

• The parent function is reflected over the x-axis.

• The parent function is shifted 3 units down.

• The parent function is vertically stretched by a factor of 3.

• The parent function is shifted to the left 3 units.

• The parent function is vertically compressed by a factor of 1/3.

Open Ended

Share one takeaway from this lesson

It can be something you learned or something you already know.

Great Job! Now, let's see what we learned.

Work on the Intro to transformation worksheet. We will go over the solutions on Monday! ​