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Algebra 1 5-8 Graphing Absolute Value Functions
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4.5 (1 rating)
by Matthew Richardson
| 26 Questions
Note 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.
The outlined content above was added from outside of Formative.
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1
10 pts
Solve It! Write the equation of Line 1 in slope-intercept form.
y = ⅓x + 1
y = ½x + 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.

zoom in
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 left 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 down 4 units.
zoom in
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.
• 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?

The outlined content above was added from outside of Formative.
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?
Be sure to include relevant graph detail: label axes, indicate units on both axes, and use arrows to represent end behavior, as appropriate.
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.
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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.

Be sure to include relevant graph detail: label axes, indicate units on both axes, and use arrows to represent end behavior, as appropriate.
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
zoom in
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
10 pts
Reflection: Math Success