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Graphing Absolute Value Functions Lesson | Warm-Up | Notes | Homework

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Algebra and Beyond
7.4k Followers
Grade Levels
9th - 12th
Standards
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Pages
6 pages + complete solutions
$3.50
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Description

Transformations of the Absolute Value Function Lesson -

In this lesson, students cover the following topics:

• Vertical Translations and Horizontal Translations

• Vertical Stretches and Compressions

• Reflections over the x and y-axis

• Combining transformations

• Identifying transformations from a graph and equation

• Writing a function given the transformations in words

I have included TWO levels of the graphic organizer:

1 - Students create the function and then graph; given the transformations through words.

2 - Students graph; given the words and the function with transformations.

Students preview the lesson by watching a short video on YouTube and then come to class with some prior knowledge. This lesson includes a video link, a warm-up, notes and homework.

Please look at the preview to find out more information about this resource.

This is a lesson from my Algebra 2 Curriculum:

Unit 3 - Functions and Graphs

Check out more lessons:

Real Numbers and Properties

Order of Operations and Expressions

Properties of Exponents

Imaginary Numbers

Complex Numbers

Solving Multi-Step Equations

Inequalities: Multi-Step and Compound

Absolute Value Equations and Inequalities

Forms of Linear Equations

Writing Equations of Lines

Function Basics

Operations with Functions

Inverse Functions

Parent Functions and Graphs

Piecewise Functions

∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞

© Algebra and Beyond

This product is intended for personal use in one classroom only. For use in multiple classrooms, please purchase additional licenses.

Total Pages
6 pages + complete solutions
Answer Key
Included
Teaching Duration
1 hour
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Standards

to see state-specific standards (only available in the US).
Explain why the 𝘹-coordinates of the points where the graphs of the equations 𝘺 = 𝘧(𝘹) and 𝘺 = 𝑔(𝘹) intersect are the solutions of the equation 𝘧(𝘹) = 𝑔(𝘹); find the solutions approximately, e.g., using technology to graph the functions, make tables of values, or find successive approximations. Include cases where 𝘧(𝘹) and/or 𝑔(𝘹) are linear, polynomial, rational, absolute value, exponential, and logarithmic functions.
Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.
Graph square root, cube root, and piecewise-defined functions, including step functions and absolute value functions.
Identify the effect on the graph of replacing 𝘧(𝘹) by 𝘧(𝘹) + 𝘬, 𝘬 𝘧(𝘹), 𝘧(𝘬𝘹), and 𝘧(𝘹 + 𝘬) for specific values of 𝘬 (both positive and negative); find the value of 𝘬 given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology.

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