graphs of square root functions and transformation

Flashcard
•
Mathematics
•
10th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the parent function of a square root function?
Back
y = √x
2.
FLASHCARD QUESTION
Front
Which points are on the parent function y = √x?
Back
(0,0), (1,1), (4,2) are on the parent function; (2,4) is not.
3.
FLASHCARD QUESTION
Front
What is the domain of the parent square root function y = √x?
Back
[0, ∞) or (0, ∞) in interval notation.
4.
FLASHCARD QUESTION
Front
What transformation occurs when the function is written as y = √(x - h)?
Back
The graph shifts to the right by h units.
5.
FLASHCARD QUESTION
Front
What transformation occurs when the function is written as y = √(x) + k?
Back
The graph shifts up by k units.
6.
FLASHCARD QUESTION
Front
What is the range of the parent square root function y = √x?
Back
[0, ∞) or (0, ∞) in interval notation.
7.
FLASHCARD QUESTION
Front
How do you find the domain of g(x) = √(x + 5) - 3?
Back
Set the expression inside the square root greater than or equal to zero: x + 5 ≥ 0, so x ≥ -5.
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