Podcast
Questions and Answers
What is the parent function equation?
What is the parent function equation?
f(x) = x
What does f(x) = x + 2 represent?
What does f(x) = x + 2 represent?
Vertical Translation, up 2 units
What does f(x) = x + 12 represent?
What does f(x) = x + 12 represent?
Vertical Translation, up 12 units
What does f(x) = x - 3 represent?
What does f(x) = x - 3 represent?
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What does f(x) = (x - 4) represent?
What does f(x) = (x - 4) represent?
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What does f(x) = (x + 7) represent?
What does f(x) = (x + 7) represent?
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What type of dilation is f(x) = 5(x)?
What type of dilation is f(x) = 5(x)?
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What type of dilation is f(x) = (1/2)x?
What type of dilation is f(x) = (1/2)x?
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What type of dilation is f(x) = (4x)?
What type of dilation is f(x) = (4x)?
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What type of dilation is f(x) = (3/5)x?
What type of dilation is f(x) = (3/5)x?
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What does f(x) = (x - 4) indicate?
What does f(x) = (x - 4) indicate?
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What does f(x) = (2/19)x represent?
What does f(x) = (2/19)x represent?
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What is Translation in the context of graphing?
What is Translation in the context of graphing?
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For vertical transition (Translation up), what is the equation?
For vertical transition (Translation up), what is the equation?
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For vertical transition (Translation down), what is the equation?
For vertical transition (Translation down), what is the equation?
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For horizontal translation (right), what is the equation?
For horizontal translation (right), what is the equation?
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For horizontal translation (left), what is the equation?
For horizontal translation (left), what is the equation?
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Study Notes
Parent Function
- The parent function for linear equations is expressed as f(x) = x.
Vertical Translations
- f(x) = x + 2: Represents a vertical translation of the graph up 2 units.
- f(x) = x + 12: Indicates a vertical translation up 12 units.
- f(x) = x - 3: Denotes a vertical translation down 3 units.
Horizontal Translations
- f(x) = (x - 4): Signifies a horizontal translation of the graph right 4 units.
- f(x) = (x + 7): Indicates a horizontal translation left 7 units.
Dilation
- f(x) = 5(x): This function shows vertical dilation, resulting in the graph being stretched.
- f(x) = (1/2)x: Represents horizontal dilation, causing the graph to be stretched.
- f(x) = (4x): Indicates horizontal dilation, resulting in the graph being compressed.
- f(x) = (3/5)x: Demonstrates vertical dilation, causing the graph to be compressed.
Translation vs. Dilation
- f(x) = (x - 4): Characterizes the function as a horizontal translation.
- f(x) = (2/19)x: Represents a vertical dilation.
General Concepts
- Translation: A movement of a graph in any direction, including up, down, left, or right.
- Vertical Transition (up): Described by f(x) = x + k (where k > 0) indicating movement k units up.
- Vertical Transition (down): Given by f(x) = x + k (where k < 0) indicating movement |k| units down.
- Horizontal Translation (right): Expressed as f(x) = (x - h) (where h > 0) showing a movement h units right.
- Horizontal Translation (left): Illustrated by f(x) = (x - h) (where h < 0) indicating a movement |h| units left.
Studying That Suits You
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Description
This quiz consists of flashcards focused on the transformations of linear functions from Algebra 1, Chapter 3, Lesson 5. Each card details the parent function and its corresponding vertical or horizontal translations. Perfect for studying and reinforcing key concepts in function transformations.
