Transformations of Parent Functions

Flashcard
•
Mathematics
•
10th - 12th Grade
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a parent function?
Back
A parent function is the simplest form of a function type, which serves as a foundation for creating more complex functions through transformations.
2.
FLASHCARD QUESTION
Front
What transformation occurs when a function is reflected over the x-axis?
Back
The output values of the function are multiplied by -1, resulting in a vertical flip of the graph.
Tags
CCSS.HSF.BF.B.3
3.
FLASHCARD QUESTION
Front
How does shifting a function up affect its equation?
Back
To shift a function up by 'k' units, add 'k' to the output of the function: f(x) becomes f(x) + k.
4.
FLASHCARD QUESTION
Front
What is the effect of a vertical stretch on a function?
Back
A vertical stretch multiplies the output of the function by a factor greater than 1, making the graph taller.
5.
FLASHCARD QUESTION
Front
What does a vertical shrink do to a function's graph?
Back
A vertical shrink multiplies the output of the function by a factor between 0 and 1, making the graph shorter.
6.
FLASHCARD QUESTION
Front
How do you represent a horizontal shift to the left in a function's equation?
Back
To shift a function left by 'h' units, replace 'x' with 'x + h' in the function's equation.
Tags
CCSS.HSF.BF.B.3
7.
FLASHCARD QUESTION
Front
What is the transformation for the equation g(x) = -x^2 + 2?
Back
This represents a reflection over the x-axis and a vertical shift up 2 units from the parent function f(x) = x^2.
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