Algebra 1 5-8 Complete Lesson: Graphing Absolute Value Functions

4.5 (1 rating)

by Matthew Richardson

| 27 QuestionsNote from the author:

A complete formative lesson with embedded slideshow, mini lecture screencasts, checks for understanding, practice items, mixed review, and reflection. I create these assignments to supplement each lesson of Pearson's Common Core Edition Algebra 1, Algebra 2, and Geometry courses. See also mathquest.net and twitter.com/mathquestEDU.

1

2

3

4

1

10 pts

Solve It! Write the equation of Line 1 in slope-intercept form.

y = ½x + 1

y = ⅓x + 1

y = 3x + 2

y = 2x + 1

2

10 pts

Solve It! Write the equation of Line 2 in slope-intercept form.

3

10 pts

Solve It! How can you transform the equation of Line 1 into the equation of Line 2? Explain.

4

10 pts

Solve It! How can you slide Line 1 in the coordinate plane so that it becomes Line 2? Explain.

5

10 pts

Vocabulary: In your own words, define translation.

6

10 pts

Graphing: Graph the absolute value function. Zoom and pan your graph to establish an appropriate viewing window.

7

7

10 pts

Problem 1 Got It? How is the graph shown related to the graph of y = |x|?

The graph shown is the graph of y = |x| shifted right 4 units.

The graph shown is the graph of y = |x| shifted down 4 units.

The graph shown is the graph of y = |x| shifted up 4 units.

The graph shown is the graph of y = |x| shifted left 4 units.

8

8

10 pts

Problem 1 Got It? Reasoning: Match the domains and ranges on the left with the appropriate function(s) on the right from Problem 1. Not all domains and ranges will be used.

- D: All real numbers
- R: All real numbers
- D: [0, ∞)
- R: [0, ∞)
- R: [-2, ∞)

- y = |x|
- y = |x| - 2

9

10 pts

Problem 2 Got It?

Be sure to include relevant graph detail: label axes, indicate units on both axes, and use arrows to represent end behavior, as appropriate.

10

10 pts

Problem 3 Got It?

Be sure to include relevant graph detail: label axes, indicate units on both axes, and use arrows to represent end behavior, as appropriate.

11

10 pts

Problem 4 Got It? Make a graph that models the relationship between the number of students x that go to the game by bus and the number of busses y that are needed if each bus holds a maximum of 50 students.

Be sure to include relevant graph detail: label axes, indicate units on both axes, and use arrows to represent end behavior, as appropriate.

12

10 pts

How is the graph of y = |x| - 8 different from the graph of y = |x|?

How is it the same?

After responding, you may check your answer using Desmos below. If you must edit your response, consider also editing your note card.

13

10 pts

What is the equation for the translation of y = |x| 9 units up?

You may check your response using Desmos.

y = |x + 9|

y = |x| - 9

y = |x| + 9

y = |x - 9|

14

10 pts

What is the graph of the function?

15

10 pts

Compare and Contrast: How are the graphs of y = |x| - 4 and y = |x - 4| the same? How are they different?

16

10 pts

Error Analysis: A student is graphing the equation y = |x - 10| and translates the graph of y = |x| 10 units left. Describe her error.

17

17

10 pts

Reveiw Lesson 5-7: Write an equation of a trend line or use a graphing calculator to find an equation of the line of best fit.

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18

10 pts

Reveiw Lesson 5-7: Write an equation of a trend line or use a graphing calculator to find an equation of the line of best fit.

19

40 pts

Review Lesson 5-3: Graph the equations on the same coordinate plane using the colors indicated for each.

20

10 pts

Vocabulary Review: Compare the absolute values using the symbols on the left.

- <
- >
- =

- |3| _?_ |-3|
- |-3| _?_ |-1|
- |9| _?_ |-10|
- |-9| _?_ |8|

21

5 pts

Vocabulary Review: The absolute value of a number is a measure of the distance from 0 to that number on the number line.

True

False

22

5 pts

Vocabulary Review: The absolute value of a number is always the opposite of that number.

True

False

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25

23

5 pts

Use Your Vocabulary: Classify the pair of figures.

translation

not a translation

24

5 pts

Use Your Vocabulary: Classify the pair of figures.

translation

not a translation

25

5 pts

Use Your Vocabulary: Classify the pair of figures.

translation

not a translation

26

100 pts

Notes: Take a clear picture or screenshot of your Cornell notes for this lesson. Upload it to the canvas. Zoom and pan as needed.

For a refresher on the Cornell note-taking system, click here.

27

10 pts

Reflection: Math Success

Add to my formatives list

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