Transformations of Functions
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is a transformation of a function?
Back
A transformation of a function is an operation that alters the form of the function, such as shifting, stretching, compressing, or reflecting it.
2.
FLASHCARD QUESTION
Front
What is the parent function of a quadratic function?
Back
The parent function of a quadratic function is y = x².
3.
FLASHCARD QUESTION
Front
How does the coefficient of a quadratic function affect its graph?
Back
If the coefficient is greater than 1, the graph is narrower than the parent function. If it is between 0 and 1, the graph is wider.
4.
FLASHCARD QUESTION
Front
What happens to the vertex of a function when it is shifted horizontally?
Back
The x-coordinate of the vertex changes according to the direction and magnitude of the shift.
5.
FLASHCARD QUESTION
Front
What is the effect of a vertical shift on the graph of a function?
Back
A vertical shift moves the graph up or down without changing its shape.
6.
FLASHCARD QUESTION
Front
How do you reflect a function over the x-axis?
Back
To reflect a function over the x-axis, multiply the entire function by -1.
7.
FLASHCARD QUESTION
Front
What does it mean to stretch a function vertically?
Back
To stretch a function vertically means to multiply the function by a factor greater than 1, making it taller.
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