5.3 Graphing Radical Functions

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Mathematics
•
9th - 12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is a radical function?
Back
A radical function is a function that contains a variable within a radical (square root, cube root, etc.). The most common form is f(x) = √(x) or f(x) = n√(x).
2.
FLASHCARD QUESTION
Front
What is the parent function of a square root function?
Back
The parent function of a square root function is f(x) = √(x).
3.
FLASHCARD QUESTION
Front
How does the graph of y = √(x) behave?
Back
The graph of y = √(x) starts at the origin (0,0) and increases gradually, only existing in the first quadrant.
4.
FLASHCARD QUESTION
Front
What transformation does y = √(x - 5) represent?
Back
The graph of y = √(x - 5) is shifted 5 units to the right.
5.
FLASHCARD QUESTION
Front
What transformation does y = -√(x) represent?
Back
The graph of y = -√(x) is a reflection of the parent function across the x-axis.
6.
FLASHCARD QUESTION
Front
What is the effect of adding a constant outside the radical, like in y = √(x) + 3?
Back
Adding a constant outside the radical shifts the graph vertically. In this case, it shifts the graph up by 3 units.
7.
FLASHCARD QUESTION
Front
What is the effect of subtracting a constant outside the radical, like in y = √(x) - 2?
Back
Subtracting a constant outside the radical shifts the graph vertically down. In this case, it shifts the graph down by 2 units.
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