How to Graph an Absolute Value and Do Transformations


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question 1 of 3

A transformation that shifts the graph up/down or left/right is called which one of the following?

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1. What are the coordinates of the vertex of the graph y = |x - 9| - 2?

2. Which graph below could represent an absolute value?

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About This Quiz & Worksheet

Absolute value graphs, represented by the y=|x| equation, and the transformations that modify this equation, represented by the y=|x-h|+k equation, are important concepts in algebra. This quiz and worksheet combo will ensure that you understand how to graph these equations. The questions on the quiz will test you on the transformations that an absolute value graph can undergo, the coordinates of a point on the line within an absolute value graph, and identifying graphs that represent absolute values.

Quiz & Worksheet Goals

In these assessments, you'll be tested on:

  • The definition of transformations, particularly translations
  • How to define coordinates given the y=|x-h|+k form of an absolute value equation
  • Matching absolute value equations to their respective graphs

Skills Practiced

This quiz and worksheet will test your skills in the following areas:

  • Reading comprehension - ensure that you draw the pertinent information on absolute values and transformations from the related lesson
  • Making connections - connect what you know about graphing linear equations and their coordinates to better understand the graphs of absolute value graphs
  • Critical thinking - apply relevant concepts to examine information about graphing these equations in a different light, specifically related to how they're changed by the value of certain variables within the equations
  • Problem solving - use your acquired knowledge to answer practice questions over transformations and graphing absolute values

Additional Learning

The related lesson is called How to Graph an Absolute Value and Do Transformations. Make sure to read it so that you can cover these objectives:

  • Define absolute value equations
  • Discuss how to graph these equations and why they're different from linear equations
  • Define transformation
  • Differentiate between the types of transformations
  • Understand the key parts of absolute value graphs and what they should look like when drawn out