Transformations of Functions

Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is a transformation of a function?
Back
A transformation of a function is an operation that alters the graph of the function in some way, such as shifting, reflecting, stretching, or compressing.
2.
FLASHCARD QUESTION
Front
What does a vertical shift of a function do?
Back
A vertical shift moves the graph of the function up or down without changing its shape.
3.
FLASHCARD QUESTION
Front
What is the effect of a horizontal shift on a function?
Back
A horizontal shift moves the graph of the function left or right.
4.
FLASHCARD QUESTION
Front
What does the notation f(x - h) represent?
Back
It represents a horizontal shift of the graph of f(x) to the right by h units.
5.
FLASHCARD QUESTION
Front
What does the notation f(x + h) represent?
Back
It represents a horizontal shift of the graph of f(x) to the left by h units.
6.
FLASHCARD QUESTION
Front
What is a reflection in the x-axis?
Back
A reflection in the x-axis flips the graph of the function over the x-axis, changing the sign of the output values.
7.
FLASHCARD QUESTION
Front
What is a reflection in the y-axis?
Back
A reflection in the y-axis flips the graph of the function over the y-axis, changing the sign of the input values.
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