Transformations of Functions
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
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 translation of a function mean?
Back
A translation of a function means shifting the graph of the function horizontally and/or vertically without changing its shape.
3.
FLASHCARD QUESTION
Front
What is the effect of a positive value added to a function, f(x) + k?
Back
Adding a positive value k to f(x) shifts the graph of the function upward by k units.
4.
FLASHCARD QUESTION
Front
What is the effect of a negative value added to a function, f(x) - k?
Back
Subtracting a positive value k from f(x) shifts the graph of the function downward by k units.
5.
FLASHCARD QUESTION
Front
What does f(x - h) represent?
Back
f(x - h) represents a horizontal translation of the graph of f(x) to the right by h units.
6.
FLASHCARD QUESTION
Front
What does f(x + h) represent?
Back
f(x + h) represents a horizontal translation of the graph of f(x) to the left by h units.
7.
FLASHCARD QUESTION
Front
What is the effect of a negative sign in front of a function, -f(x)?
Back
The negative sign reflects the graph of the function over the x-axis.
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