
Transformations of square roots
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a transformation of a function?
Back
A transformation of a function refers to a change in its position, size, or shape on a graph, which can include translations, reflections, stretches, and compressions.
Tags
CCSS.HSF.BF.B.3
2.
FLASHCARD QUESTION
Front
What is the parent function of square roots?
Back
The parent function of square roots is f(x) = √x, which is the simplest form of a square root function.
3.
FLASHCARD QUESTION
Front
What does it mean to shift a function left or right?
Back
Shifting a function left or right involves adding or subtracting a value from the input (x) of the function. For example, f(x + 2) shifts the graph left by 2 units, while f(x - 2) shifts it right by 2 units.
4.
FLASHCARD QUESTION
Front
What does it mean to shift a function up or down?
Back
Shifting a function up or down involves adding or subtracting a value from the output (f(x)) of the function. For example, f(x) + 2 shifts the graph up by 2 units, while f(x) - 2 shifts it down by 2 units.
5.
FLASHCARD QUESTION
Front
What is the effect of reflecting a function over the x-axis?
Back
Reflecting a function over the x-axis changes the sign of the output values. For example, if f(x) is reflected over the x-axis, the new function is -f(x).
Tags
CCSS.HSF.BF.B.3
6.
FLASHCARD QUESTION
Front
What is the effect of reflecting a function over the y-axis?
Back
Reflecting a function over the y-axis changes the sign of the input values. For example, if f(x) is reflected over the y-axis, the new function is f(-x).
Tags
CCSS.HSF.BF.B.3
7.
FLASHCARD QUESTION
Front
How does the transformation g(x) = f(x) - 4 affect the graph of f(x)?
Back
The transformation g(x) = f(x) - 4 translates the graph of f(x) downward by 4 units.
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