Square Root Transformations
Flashcard
•
Mathematics
•
8th Grade
•
Practice Problem
•
Hard
Wayground Content
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a square root function?
Back
A square root function is a function of the form f(x) = √x, where the output is the non-negative square root of x.
2.
FLASHCARD QUESTION
Front
What is the parent function of square root transformations?
Back
The parent function 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 up?
Back
Shifting a function up means adding a constant to the function's output, moving the graph vertically.
4.
FLASHCARD QUESTION
Front
What does it mean to shift a function left?
Back
Shifting a function left means subtracting a constant from the input variable, moving the graph horizontally.
5.
FLASHCARD QUESTION
Front
What is the effect of reflecting a function across the x-axis?
Back
Reflecting a function across the x-axis changes the sign of the output, resulting in a vertical flip of the graph.
6.
FLASHCARD QUESTION
Front
How do you determine the domain of a square root function?
Back
The domain of a square root function is the set of all x-values for which the expression under the square root is non-negative.
7.
FLASHCARD QUESTION
Front
What is the range of the function f(x) = √(x - 2) + 4?
Back
The range is [4, ∞) because the minimum value occurs when x = 2, giving f(2) = 4.
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