What is a vertical stretch of a function?
Transformations of Functions

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Mathematics
•
9th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
A vertical stretch occurs when the output values of a function are multiplied by a factor greater than 1, making the graph taller.
2.
FLASHCARD QUESTION
Front
What happens to the graph of f(x) when it is replaced with 2⋅f(x)?
Back
The graph undergoes a vertical stretch by a factor of 2.
3.
FLASHCARD QUESTION
Front
What is a horizontal translation of a function?
Back
A horizontal translation shifts the graph left or right without changing its shape.
4.
FLASHCARD QUESTION
Front
How does g(x) = (x + 4)² transform f(x) = x²?
Back
It translates the graph of f(x) 4 units to the left.
5.
FLASHCARD QUESTION
Front
What is the effect of changing f(x) to f(x - h)?
Back
This represents a horizontal translation to the right by h units.
6.
FLASHCARD QUESTION
Front
What does it mean for a function to be narrower than its parent function?
Back
A function is narrower if it grows faster than the parent function, typically due to a vertical stretch.
7.
FLASHCARD QUESTION
Front
How does y = 5x² compare to y = x²?
Back
y = 5x² is narrower than y = x² due to the vertical stretch by a factor of 5.
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