Parent Function Translations
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a parent function?
Back
A parent function is the simplest form of a function type, from which other functions in the same family are derived by transformations such as translations, reflections, and stretches.
2.
FLASHCARD QUESTION
Front
What does a vertical translation of a function do?
Back
A vertical translation shifts the graph of the function up or down without changing its shape.
3.
FLASHCARD QUESTION
Front
How does adding a constant to a function affect its graph?
Back
Adding a constant to a function's output (f(x) + k) translates the graph vertically by k units; if k is positive, it shifts up, and if k is negative, it shifts down.
4.
FLASHCARD QUESTION
Front
What does a horizontal translation of a function do?
Back
A horizontal translation shifts the graph of the function left or right without changing its shape.
5.
FLASHCARD QUESTION
Front
How does subtracting a constant from the input of a function affect its graph?
Back
Subtracting a constant from the input (f(x - h)) translates the graph horizontally to the right by h units; if h is negative, it shifts left.
6.
FLASHCARD QUESTION
Front
What is the effect of the transformation g(x) = f(x) + k?
Back
The transformation g(x) = f(x) + k shifts the graph of f(x) vertically by k units.
7.
FLASHCARD QUESTION
Front
What is the effect of the transformation g(x) = f(x - h)?
Back
The transformation g(x) = f(x - h) shifts the graph of f(x) horizontally to the right by h units.
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