Square Root Functions
Flashcard
•
Mathematics
•
9th - 10th Grade
•
Practice Problem
•
Hard
Standards-aligned
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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 square root of the input value. It is defined for x ≥ 0.
2.
FLASHCARD QUESTION
Front
What is the general form of a square root function?
Back
The general form of a square root function is f(x) = a√(x - h) + k, where (h, k) is the vertex of the graph, and 'a' determines the vertical stretch or compression.
Tags
CCSS.HSF-IF.C.7B
3.
FLASHCARD QUESTION
Front
What does the parameter 'a' in the square root function affect?
Back
The parameter 'a' affects the vertical stretch or compression of the graph. If |a| > 1, the graph stretches; if 0 < |a| < 1, it compresses.
Tags
CCSS.HSF-IF.C.7B
4.
FLASHCARD QUESTION
Front
How does the value of 'h' in the function f(x) = √(x - h) affect the graph?
Back
The value of 'h' shifts the graph horizontally. If h is positive, the graph shifts to the right; if h is negative, it shifts to the left.
Tags
CCSS.HSF-IF.C.7B
5.
FLASHCARD QUESTION
Front
What effect does the value of 'k' have in the function f(x) = √(x - h) + k?
Back
The value of 'k' shifts the graph vertically. If k is positive, the graph shifts up; if k is negative, it shifts down.
Tags
CCSS.HSF-IF.C.7B
6.
FLASHCARD QUESTION
Front
What is the domain of the square root function f(x) = √(x - 4)?
Back
The domain is x ≥ 4, as the expression under the square root must be non-negative.
7.
FLASHCARD QUESTION
Front
What is the range of the square root function f(x) = √(x - 4)?
Back
The range is y ≥ 0, as the output of a square root function is always non-negative.
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