Transformations of Parent Functions
Flashcard
•
Mathematics
•
12th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is a parent function?
Back
A parent function is the simplest form of a function in a family of functions, which retains the essential characteristics of that family.
2.
FLASHCARD QUESTION
Front
What transformation occurs when a function is reflected across the x-axis?
Back
The output values of the function are negated, resulting in a vertical flip of the graph.
3.
FLASHCARD QUESTION
Front
How does a horizontal shift to the right affect the equation of a function?
Back
A horizontal shift to the right by 'h' units is represented by replacing 'x' with 'x - h' in the function's equation.
4.
FLASHCARD QUESTION
Front
What is the effect of a vertical shift down on a function's graph?
Back
A vertical shift down by 'k' units is represented by subtracting 'k' from the function's output.
5.
FLASHCARD QUESTION
Front
What does a horizontal stretch by a factor of 'a' do to a function?
Back
A horizontal stretch by a factor of 'a' is represented by replacing 'x' with 'x/a' in the function's equation.
6.
FLASHCARD QUESTION
Front
What is the transformation represented by f(x) = -|x|?
Back
This represents a reflection of the absolute value function across the x-axis.
7.
FLASHCARD QUESTION
Front
How do you represent a vertical translation up by 3 units in a function?
Back
You add 3 to the function's output: f(x) + 3.
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