Function Transformations

Flashcard
•
Mathematics
•
11th - 12th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a vertical shift in function transformations?
Back
A vertical shift moves the graph of a function up or down without changing its shape. For example, if f(x) is shifted down by 3 units, the new function is f(x) - 3.
2.
FLASHCARD QUESTION
Front
What does a horizontal shift to the left by 'h' units look like in function notation?
Back
A horizontal shift to the left by 'h' units is represented as f(x + h).
3.
FLASHCARD QUESTION
Front
What is the effect of a vertical stretch on a function?
Back
A vertical stretch increases the distance of points from the x-axis. If f(x) is stretched by a factor of 'a', the new function is a*f(x).
4.
FLASHCARD QUESTION
Front
How does reflecting a function over the y-axis affect its equation?
Back
Reflecting a function over the y-axis changes the sign of the x variable in the function's equation. For example, f(x) becomes f(-x).
5.
FLASHCARD QUESTION
Front
What is the parent function of a quadratic function?
Back
The parent function of a quadratic function is f(x) = x^2.
6.
FLASHCARD QUESTION
Front
Describe the transformation represented by f(x) = f(x - 2).
Back
This represents a horizontal shift to the right by 2 units.
7.
FLASHCARD QUESTION
Front
What does a negative sign in front of a function indicate?
Back
A negative sign indicates a reflection over the x-axis. For example, -f(x) reflects the graph of f(x) across the x-axis.
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