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You are reading an older version of this FlexBook® textbook: CK-12 Math Analysis Concepts Go to the latest version.

1.12: Vertical and Horizontal Transformations

Difficulty Level: At Grade Created by: CK-12
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Vocabulary

Absolute value function

Absolute value function

An absolute value function graphs a V shape, and is in the form y = |x|.
Function families

Function families

Function families are groups of functions with similarities that make them easier to graph when you are familiar with the parent function, the most basic example of the form.
Function Family

Function Family

Function families are groups of functions with similarities that make them easier to graph when you are familiar with the parent function, the most basic example of the form.
Horizontal shift

Horizontal shift

A horizontal shift is the result of adding a constant term to the function inside the parentheses. A positive term results in a shift to the left and a negative term in a shift to the right.
parent function

parent function

A parent function is the simplest form of a particular type of function. All other functions of this type are usually compared to the parent function.
shift

shift

A shift, also known as a translation or a slide, is a transformation applied to the graph of a function that does not change the shape or orientation of the graph, only the location of the graph.
shifts

shifts

A shift, also known as a translation or a slide, is a transformation applied to the graph of a function that does not change the shape or orientation of the graph, only the location of the graph.
Transformations

Transformations

Transformations are used to change the graph of a parent function into the graph of a more complex function.
Translation

Translation

A translation is a transformation that slides a figure on the coordinate plane without changing its shape, size, or orientation.
Vertical shift

Vertical shift

A vertical shift is the result of adding a constant term to the value of a function. A positive term results in an upward shift, and a negative term in a downward shift.

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MAT.ALY.152.L.1

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