Algebra 2 2-6 Guided Practice: Families of Functions
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Last updated over 3 years ago
29 questions
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Question 1
1.
Video Check: Select all that apply with regards to the video embedded directly above this item.
Solve It! The equation of the line is:
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Question 4
4.
Video Check: Select all that apply with regards to the video embedded directly above this item.
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Question 5
5.
Take Note: Define parent function.
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Question 6
6.
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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Question 8
8.
Problem 1 Got It? How are the functions related?
Question 9
9.
Problem 1 Got It? How are the graphs of the functions related?
Question 10
10.
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
Click the graph tab.
Click on the graph background to add a point. Add two points to create a graph. Drag a point or type in x and y coordinates to edit its position. Click on a point to delete it.
Question 11
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Video Check: Select all that apply with regards to the video embedded directly above this item.
Question 12
12.
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?
Question 13
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Video Check: Select all that apply with regards to the video embedded directly above this item.
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Question 14
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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.
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Question 19
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Problem 3 Got It?
Question 20
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Video Check: Select all that apply with regards to the video embedded directly above this item.
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Question 21
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Take Note: Define vertical stretch and vertical compression. You may use the canvas to help illustrate your written response.
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Question 24
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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.
Question 25
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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.
Question 26
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Video Check: Select all that apply with regards to the video embedded directly above this item.
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Question 27
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Problem 5 Got It?
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Question 28
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Problem 5 Got It?
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Question 29
29.
🧠 Retrieval Practice:
Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?
Question 2
2.
How could you change the y-intercept so the graph of a second equation passes through point P?
Question 3
3.
How could you change the slope so the graph of a second equation passes through point P?
Question 7
7.
Take Note: Define vertical translation and horizontal translation. You may use the canvas to help illustrate your written response.
Question 15
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Take Note: What does it mean to reflect a graph in the x-axis? You may use the canvas to illustrate your explanation.
Question 16
16.
Take Note: What does it mean to reflect a graph in the y-axis? You may use the canvas to illustrate your explanation.
Question 17
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Take Note: Which of the following functions represents a reflection in the y-axis of the function f(x)?
Question 18
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Take Note: Which of the following functions represents a reflection in the x-axis of the function f(x)?
Question 22
22.
Take Note: Which of the following functions represents a vertical stretch of the function y=f(x)?
Question 23
23.
Take Note: Which of the following functions represents a vertical compression of the function y=f(x)?
