9.26 Linear Transformations

Open Ended

(5 min) Think back to when you learned about dilations.

How can you transform the equation of Line 1 into the equation for Line 2 and Line 3?

Reorder

(3 min) Which line is more steep?

Put in order from more steep to less steep.

• Line 2

• Line 1

• Line 3

1

2

3

• 1
• 2
• 3

Open Ended

(5 min) How can I use slope to help determine the steepness of a line?

Multiple Choice

(3 min) Lap 1: Katrina graphed the function f(x) and then transformed the function to form k(x). Which statement describes how the graphs of f and k are related?

(activity sheet - page 4)

• A

• B

• C

• D

​7 min

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Labelling

Lap 2: Write the algebraic rule for the following transformations to the linear parent function f(x) = x.

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Labelling

Lap 3: Write the algebraic rule for the following transformations to the linear parent function f(x) = x.

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Labelling

Match the algebraic representation to the transformation.

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Multiple Choice

Leticia graphed the function f(x) = x and transformed it to create $$h\left(x\right)=f\left(\frac{2}{5}x\right)$$ . Which graph represents f and h?

• A

• B

• C

Multiple Select

Annotate: Milo graphed the the function f(x) = x and transformed it to form w(x) with a vertical reflection and horizontal compression. Which equations could represent w(x)? Select TWO correct answers. (activity sheet)

• A

• B

• C

• D

• E

Multiple Choice

Annotate: Ms. Chandler had her students transform the linear parent function  f(x) = x by vertically compressing the function to create j(x). Which of the following represents a vertical compression? (activity sheet)

• A

• B

• C

• D