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Algebra 1 5-8 Guided Practice: Graphing Absolute Value Functions

By Matt Richardson
Last updated over 2 years ago
20 Questions
1.

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

2.

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

3.

Solve It! How can you efficiently transform the slope-intercept form equation of Line 1 into the slope-intercept form equation of Line 2?

F.BF.3
4.

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

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5.

Take Note: In general, describe graphs of absolute value functions. You may use the canvas to help illustrate your written response.

6.

Take Note: What is the vertex of an absolute value function's graph? You may use the canvas to help illustrate your written response.

7.

Take Note: What is a branch of an absolute value function's graph? You may use the canvas to help illustrate your written response.

8.

Take Note: Graph an example of an absolute value function. Zoom and pan your graph to establish an appropriate viewing window.

9.

Take Note: What is a translation of a graph? You may use the canvas to help illustrate your written response.

10.

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

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11.

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
12.

Problem 2 Got It? Graph the absolute value equation on the canvas. You may complete your work on paper or on a whiteboard and upload a clear picture of it to the canvas.
Be sure to include relevant graph detail: label axes, indicate units on both axes, and use arrows to represent end behavior, as appropriate.

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13.

Take Note: Graph the function y=|x+4|-7.
Zoom and pan to establish an appropriate viewing window.

14.

Take Note: Consider the function y=|x+4|-7.
What effect does the "+ 4" have on the graph of the function?

15.

Take Note: Consider the function y=|x+4|-7.
What effect does the "- 7" have on the graph of the function?

16.

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.

F.BF.3
17.

Take Note:
  1. What is a piecewise function ?
  2. Sketch an example graph of a piecewise function on the canvas.

18.

Take Note:
  1. What is a step function ?
  2. Sketch an example graph of a step function on the canvas.

19.

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.

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20.

Take Note: Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?