Algebra 2 2-6 Guided Practice: Families of Functions

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Video Check: Select all that apply with regards to the video embedded directly above this item.

🕵️ I carefully watched the entire video.

📵 I removed distractions from my field of view while watching the entire video.

🎧 I used headphones (or earbuds) to listen to the entire video as I watched it.

✋ I sought clarification, as needed, to understand each concept in the video.

🎓 I understand each concept in the video and feel ready to move on.

🎯 I feel prepared to complete challenging problems related to the video.

❌ None of these statements apply.

Solve It! The equation of the line is:

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F.BF.3

1

F.BF.3

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Video Check: Select all that apply with regards to the video embedded directly above this item.

🕵️ I carefully watched the entire video.

📵 I removed distractions from my field of view while watching the entire video.

🎧 I used headphones (or earbuds) to listen to the entire video as I watched it.

✋ I sought clarification, as needed, to understand each concept in the video.

🎓 I understand each concept in the video and feel ready to move on.

🎯 I feel prepared to complete challenging problems related to the video.

❌ None of these statements apply.

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Take Note: Define parent function.

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Take Note: Define transformation of the graph of a function. You may use the canvas to help illustrate your written response.

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Take Note: Define vertical translation and horizontal translation. You may use the canvas to help illustrate your written response.

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Problem 1 Got It? How are the functions related?

Each output for y = 2x - 3 is three more than the corresponding output for y = 2x.

Each output for y = 2x - 3 is three less than the corresponding output for y = 2x.

F.BF.3

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Problem 1 Got It? How are the graphs of the functions related?

The graph of y = 2x - 3 is the graph of y = 2x translated right 3 units.

The graph of y = 2x - 3 is the graph of y = 2x translated up 3 units.

The graph of y = 2x - 3 is the graph of y = 2x translated down 3 units.

F.BF.3

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Problem 1 Got It? Graph both functions. Zoom and pan your graph to establish an appropriate viewing window.
Graph 1: y=2x
Graph 2: y=2x-3

Instrukcije

Kliknite na karticu Grafikon (Grafikon 1, Grafikon 2 i tako dalje) za svaki grafikon koji trebate nacrtati.
Kliknite na pozadinu grafikona da biste dodali tačku. Dodajte dvije tačke da biste kreirali grafikon. Prevucite tačku ili unesite x i y koordinate da biste uredili njen položaj. Kliknite na tačku da biste je izbrisali.
Nakon što kreirate grafikon, možete označiti kućicu s isprekidanom linijom.

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Video Check: Select all that apply with regards to the video embedded directly above this item.

🕵️ I carefully watched the entire video.

📵 I removed distractions from my field of view while watching the entire video.

🎧 I used headphones (or earbuds) to listen to the entire video as I watched it.

✋ I sought clarification, as needed, to understand each concept in the video.

🎓 I understand each concept in the video and feel ready to move on.

🎯 I feel prepared to complete challenging problems related to the video.

❌ None of these statements apply.

10

Problem 2 Got It? Consider the projectile altitude f(x) of the airplane shown in Problem 2.
Suppose the flight leaves 30 minutes early. What function represents this transformation?

F.BF.3

3

Video Check: Select all that apply with regards to the video embedded directly above this item.

🕵️ I carefully watched the entire video.

📵 I removed distractions from my field of view while watching the entire video.

🎧 I used headphones (or earbuds) to listen to the entire video as I watched it.

✋ I sought clarification, as needed, to understand each concept in the video.

🎓 I understand each concept in the video and feel ready to move on.

🎯 I feel prepared to complete challenging problems related to the video.

❌ None of these statements apply.

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Take Note: Define reflection as it pertains to graphs of functions. You may use the canvas to help illustrate your written response.

5

Take Note: What does it mean to reflect a graph in the x-axis? You may use the canvas to illustrate your explanation.

5

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Problem 3 Got It?

A

B

C

D

F.BF.3

3

Video Check: Select all that apply with regards to the video embedded directly above this item.

🕵️ I carefully watched the entire video.

📵 I removed distractions from my field of view while watching the entire video.

🎧 I used headphones (or earbuds) to listen to the entire video as I watched it.

✋ I sought clarification, as needed, to understand each concept in the video.

🎓 I understand each concept in the video and feel ready to move on.

🎯 I feel prepared to complete challenging problems related to the video.

❌ None of these statements apply.

10

Take Note: Define vertical stretch and vertical compression. You may use the canvas to help illustrate your written response.

10

Problem 4 Got It? For the function f(x) shown in Problem 4 and in the table below, what is the corresponding table for the transformation h(x)? Complete the table for h(x) on the canvas. Use a color other than black.

F.BF.3

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Problem 4 Got It? Reasoning: If several transformations are applied to a graph, will changing the order of transformations change the resulting graph? Explain.
Hint: consider the following transformations of the parent function f(x) = x:
Stretch f(x)=x vertically by a factor of 2 THEN translate up 1 unit.
Translate f(x)=x up 1 unit THEN stretch vertically by a factor of 2.

F.BF.3

3

Video Check: Select all that apply with regards to the video embedded directly above this item.

🕵️ I carefully watched the entire video.

📵 I removed distractions from my field of view while watching the entire video.

🎧 I used headphones (or earbuds) to listen to the entire video as I watched it.

✋ I sought clarification, as needed, to understand each concept in the video.

🎓 I understand each concept in the video and feel ready to move on.

🎯 I feel prepared to complete challenging problems related to the video.

❌ None of these statements apply.

10

Problem 5 Got It?

A

B

C

D

F.BF.3

10

Problem 5 Got It?

A

B

C

D

F.BF.3

10

Algebra 2 2-6 Guided Practice: Families of Functions

Video Check: Select all that apply with regards to the video embedded directly above this item.

Video Check: Select all that apply with regards to the video embedded directly above this item.

Take Note: Define parent function.

Take Note: Define transformation of the graph of a function. You may use the canvas to help illustrate your written response.

Take Note: Define vertical translation and horizontal translation. You may use the canvas to help illustrate your written response.

Problem 1 Got It? How are the functions related?

Problem 1 Got It? How are the graphs of the functions related?

Problem 1 Got It? Graph both functions. Zoom and pan your graph to establish an appropriate viewing window.Graph 1: y=2xGraph 2: y=2x-3

Video Check: Select all that apply with regards to the video embedded directly above this item.

Problem 2 Got It? Consider the projectile altitude f(x) of the airplane shown in Problem 2. Suppose the flight leaves 30 minutes early. What function represents this transformation?

Video Check: Select all that apply with regards to the video embedded directly above this item.

Take Note: Define reflection as it pertains to graphs of functions. You may use the canvas to help illustrate your written response.

Take Note: What does it mean to reflect a graph in the x-axis? You may use the canvas to illustrate your explanation.

Problem 3 Got It?

Video Check: Select all that apply with regards to the video embedded directly above this item.

Take Note: Define vertical stretch and vertical compression. You may use the canvas to help illustrate your written response.

Problem 4 Got It? For the function f(x) shown in Problem 4 and in the table below, what is the corresponding table for the transformation h(x)? Complete the table for h(x) on the canvas. Use a color other than black.

Video Check: Select all that apply with regards to the video embedded directly above this item.

Problem 5 Got It?

Problem 5 Got It?

🧠 Retrieval Practice:Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?

Video Check: Select all that apply with regards to the video embedded directly above this item.

How could you change the y-intercept so the graph of a second equation passes through point P?

How could you change the slope so the graph of a second equation passes through point P?

Video Check: Select all that apply with regards to the video embedded directly above this item.

Take Note: Define parent function.

Take Note: Define transformation of the graph of a function. You may use the canvas to help illustrate your written response.

Take Note: Define vertical translation and horizontal translation. You may use the canvas to help illustrate your written response.

Problem 1 Got It? How are the functions related?

Problem 1 Got It? How are the graphs of the functions related?

Problem 1 Got It? Graph both functions. Zoom and pan your graph to establish an appropriate viewing window.Graph 1: y=2xGraph 2: y=2x-3

Video Check: Select all that apply with regards to the video embedded directly above this item.

Problem 2 Got It? Consider the projectile altitude f(x) of the airplane shown in Problem 2. Suppose the flight leaves 30 minutes early. What function represents this transformation?

Video Check: Select all that apply with regards to the video embedded directly above this item.

Take Note: Define reflection as it pertains to graphs of functions. You may use the canvas to help illustrate your written response.

Take Note: What does it mean to reflect a graph in the x-axis? You may use the canvas to illustrate your explanation.

Take Note: What does it mean to reflect a graph in the y-axis? You may use the canvas to illustrate your explanation.

Take Note: Which of the following functions represents a reflection in the y-axis of the function f(x)?

Take Note: Which of the following functions represents a reflection in the x-axis of the function f(x)?

Problem 3 Got It?

Video Check: Select all that apply with regards to the video embedded directly above this item.

Take Note: Define vertical stretch and vertical compression. You may use the canvas to help illustrate your written response.

Take Note: Which of the following functions represents a vertical stretch of the function y=f(x)?

Take Note: Which of the following functions represents a vertical compression of the function y=f(x)?

Problem 4 Got It? For the function f(x) shown in Problem 4 and in the table below, what is the corresponding table for the transformation h(x)? Complete the table for h(x) on the canvas. Use a color other than black.

Video Check: Select all that apply with regards to the video embedded directly above this item.

Problem 5 Got It?

Problem 5 Got It?

🧠 Retrieval Practice:Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?

How could you change the y-intercept so the graph of a second equation passes through point P?

How could you change the slope so the graph of a second equation passes through point P?

Take Note: What does it mean to reflect a graph in the y-axis? You may use the canvas to illustrate your explanation.

Take Note: Which of the following functions represents a reflection in the y-axis of the function f(x)?

Take Note: Which of the following functions represents a reflection in the x-axis of the function f(x)?

Take Note: Which of the following functions represents a vertical stretch of the function y=f(x)?

Take Note: Which of the following functions represents a vertical compression of the function y=f(x)?

Problem 1 Got It? Graph both functions. Zoom and pan your graph to establish an appropriate viewing window.
Graph 1: y=2x
Graph 2: y=2x-3

Problem 2 Got It? Consider the projectile altitude f(x) of the airplane shown in Problem 2.
Suppose the flight leaves 30 minutes early. What function represents this transformation?

🧠 Retrieval Practice:
Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?

Problem 1 Got It? Graph both functions. Zoom and pan your graph to establish an appropriate viewing window.
Graph 1: y=2x
Graph 2: y=2x-3

Problem 2 Got It? Consider the projectile altitude f(x) of the airplane shown in Problem 2.
Suppose the flight leaves 30 minutes early. What function represents this transformation?

🧠 Retrieval Practice:
Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?