Graphing Radical Equations & Inverse Functions
Flashcard
•
Mathematics
•
11th Grade
•
Practice Problem
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the graph of f(x) = √x + 3?
Back
The graph of f(x) = √x + 3 is a transformation of the basic square root function, shifted up 3 units.
Tags
CCSS.HSF-IF.C.7B
2.
FLASHCARD QUESTION
Front
Describe the transformation of the function f(x) = √(x - 4) + 1.
Back
The transformation is a right shift of 4 units and an upward shift of 1 unit.
Tags
CCSS.HSF.BF.B.3
3.
FLASHCARD QUESTION
Front
What does a vertical stretch by a factor of 2 do to the graph of f(x) = √x?
Back
It makes the graph steeper, stretching it vertically by a factor of 2.
Tags
CCSS.HSF-IF.C.7B
4.
FLASHCARD QUESTION
Front
What does a vertical shrink by a factor of ⅓ do to the graph of f(x) = √x?
Back
It makes the graph flatter, shrinking it vertically by a factor of ⅓.
Tags
CCSS.HSF-IF.C.7B
5.
FLASHCARD QUESTION
Front
What is the effect of reflecting the graph of f(x) = √x over the x-axis?
Back
The graph will be inverted, changing all positive y-values to negative.
Tags
CCSS.HSF.BF.B.3
6.
FLASHCARD QUESTION
Front
What is the effect of reflecting the graph of f(x) = √x over the y-axis?
Back
The graph will not change since the square root function is not defined for negative x-values.
Tags
CCSS.HSF.BF.B.3
7.
FLASHCARD QUESTION
Front
Match the equation y = √(x - 3) with its graph.
Back
The graph is shifted right 3 units from the basic square root function.
Tags
CCSS.HSF-IF.C.7B
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