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Questions and Answers
The figure shows the graph of the function $y = f(x)$ with a solid line. The dotted curve is the graph of the function: (See image)
The figure shows the graph of the function $y = f(x)$ with a solid line. The dotted curve is the graph of the function: (See image)
- $y = -f(-x)$ (correct)
- $y = f(1 - x)$
- $y = f(-x)$
- $y = f(x) - 1$
- $y = -f(x)$
Flashcards
What is the transformation f(-x)?
What is the transformation f(-x)?
Reflects the graph of f(x) across the y-axis. The x-coordinate of each point is replaced by its opposite.
What is the transformation -f(x)?
What is the transformation -f(x)?
Reflects the graph of f(x) across the x-axis. The y-coordinate of each point is replaced by its opposite. It flips the function vertically.
What is the transformation f(x) - 1?
What is the transformation f(x) - 1?
Shifts the graph of f(x) downwards by 1 unit. Decreases the y-coordinate of each point by one.
What is the transformation f(1 - x)?
What is the transformation f(1 - x)?
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What is the transformation -f(-x)?
What is the transformation -f(-x)?
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Study Notes
- The solid line represents the function y = f(x).
- The task is to identify which transformation of f(x) corresponds to the dotted curve.
- Option (B) y = f(-x) is marked as incorrect.
- The possible transformations to consider are:
- y = f(1-x)
- y = -f(x)
- y = -f(-x)
- y = f(x) - 1
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