What is a parent function?
Parent Function Transformations

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•
Mathematics
•
8th - 12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
A parent function is the simplest form of a function in a family of functions. It serves as a reference point for transformations.
2.
FLASHCARD QUESTION
Front
What does the transformation y = -f(x) represent?
Back
The transformation y = -f(x) reflects the graph of the function f(x) across the x-axis.
3.
FLASHCARD QUESTION
Front
What does the transformation y = f(-x) represent?
Back
The transformation y = f(-x) reflects the graph of the function f(x) across the y-axis.
4.
FLASHCARD QUESTION
Front
What does the transformation y = f(x) + k do?
Back
The transformation y = f(x) + k shifts the graph of the function f(x) vertically by k units. If k is positive, it shifts up; if negative, it shifts down.
5.
FLASHCARD QUESTION
Front
What does the transformation y = f(x + h) do?
Back
The transformation y = f(x + h) shifts the graph of the function f(x) horizontally by h units. If h is positive, it shifts left; if negative, it shifts right.
6.
FLASHCARD QUESTION
Front
What does the transformation y = af(x) do?
Back
The transformation y = af(x) vertically stretches or compresses the graph of the function f(x). If |a| > 1, it stretches; if 0 < |a| < 1, it compresses.
7.
FLASHCARD QUESTION
Front
What does the transformation y = f(bx) do?
Back
The transformation y = f(bx) horizontally stretches or compresses the graph of the function f(x). If |b| > 1, it compresses; if 0 < |b| < 1, it stretches.
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