Parent Graph Transformations - graphing and writing equations
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is a parent graph?
Back
A parent graph is the simplest form of a function, which serves as a base for transformations.
2.
FLASHCARD QUESTION
Front
What does a vertical shift of 'k' units mean in a function?
Back
A vertical shift of 'k' units means the graph moves up if k is positive and down if k is negative.
3.
FLASHCARD QUESTION
Front
How does the equation y = f(x) + k affect the graph of f(x)?
Back
The graph of f(x) shifts vertically by k units.
4.
FLASHCARD QUESTION
Front
What does a horizontal shift of 'h' units mean in a function?
Back
A horizontal shift of 'h' units means the graph moves left if h is positive and right if h is negative.
5.
FLASHCARD QUESTION
Front
How does the equation y = f(x - h) affect the graph of f(x)?
Back
The graph of f(x) shifts horizontally by h units.
6.
FLASHCARD QUESTION
Front
What is the effect of a reflection across the x-axis on a function?
Back
A reflection across the x-axis changes the sign of the output values, resulting in y = -f(x).
7.
FLASHCARD QUESTION
Front
What is the effect of a reflection across the y-axis on a function?
Back
A reflection across the y-axis changes the sign of the input values, resulting in y = f(-x).
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