2023 -2024 - Graphing Cube Root Functions
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
Standards-aligned
Wayground Content
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a cube root function?
Back
A cube root function is a function of the form f(x) = ∛(x), which returns the number that, when cubed, gives x.
Tags
CCSS.HSF-IF.C.7B
2.
FLASHCARD QUESTION
Front
What is the general form of a cube root function?
Back
The general form is f(x) = a ∛(x - h) + k, where (h, k) is the center point of the graph.
Tags
CCSS.HSF-IF.C.7B
3.
FLASHCARD QUESTION
Front
How do you find the x-intercept of a cube root function?
Back
To find the x-intercept, set f(x) = 0 and solve for x.
Tags
CCSS.HSF-IF.C.7B
4.
FLASHCARD QUESTION
Front
What does the center point of a cube root function represent?
Back
The center point (h, k) represents the point where the graph of the function changes direction.
Tags
CCSS.HSF-IF.C.7B
5.
FLASHCARD QUESTION
Front
What effect does the parameter 'a' have in the function f(x) = a ∛(x - h) + k?
Back
The parameter 'a' affects the vertical stretch or compression and the direction of the graph (upward if a > 0, downward if a < 0).
Tags
CCSS.HSF.BF.B.3
6.
FLASHCARD QUESTION
Front
How does the value of 'h' affect the graph of a cube root function?
Back
The value of 'h' shifts the graph horizontally. If h is positive, the graph shifts to the right; if negative, it shifts to the left.
Tags
CCSS.HSF-IF.C.7B
7.
FLASHCARD QUESTION
Front
How does the value of 'k' affect the graph of a cube root function?
Back
The value of 'k' shifts the graph vertically. If k is positive, the graph shifts up; if negative, it shifts down.
Tags
CCSS.HSF-IF.C.7B
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