Transformations of Functions Review

Flashcard
•
Mathematics
•
9th - 11th Grade
•
Hard
Standards-aligned
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15 questions
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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.
Tags
CCSS.HSF.BF.B.3
2.
FLASHCARD QUESTION
Front
What does it mean to shift a graph to the right?
Back
Shifting a graph to the right means adding a positive value to the x-variable in the function's equation.
3.
FLASHCARD QUESTION
Front
What does it mean to shift a graph up?
Back
Shifting a graph up means adding a positive value to the entire function, which raises the graph vertically.
4.
FLASHCARD QUESTION
Front
What is the parent function of a quadratic function?
Back
The parent function of a quadratic function is f(x) = x².
5.
FLASHCARD QUESTION
Front
How does reflecting a graph over the x-axis affect its equation?
Back
Reflecting a graph over the x-axis changes the sign of the function, resulting in f(x) becoming -f(x).
6.
FLASHCARD QUESTION
Front
What is the effect of the transformation y = f(x) - k?
Back
The transformation y = f(x) - k shifts the graph of f(x) down by k units.
Tags
CCSS.HSF.BF.B.3
7.
FLASHCARD QUESTION
Front
What is the effect of the transformation y = f(x + h)?
Back
The transformation y = f(x + h) shifts the graph of f(x) to the left by h units if h is positive.
Tags
CCSS.HSF.BF.B.3
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