Cubic Transformations
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 a cubic function?
Back
A cubic function is a polynomial function of degree three, typically expressed in the form f(x) = ax^3 + bx^2 + cx + d, where a, b, c, and d are constants and a ≠ 0.
2.
FLASHCARD QUESTION
Front
What is the parent function of cubic transformations?
Back
The parent function of cubic transformations is f(x) = x^3.
Tags
CCSS.HSF.BF.B.3
3.
FLASHCARD QUESTION
Front
How does the graph of f(x) = (x - 2)^3 - 8 shift from the parent graph?
Back
The graph shifts Right 2 and Down 8.
4.
FLASHCARD QUESTION
Front
What is the effect of the term (x - h) in a cubic function?
Back
The term (x - h) shifts the graph horizontally. If h is positive, the graph shifts to the right; if h is negative, it shifts to the left.
5.
FLASHCARD QUESTION
Front
What does the term -k do in a cubic function?
Back
The term -k shifts the graph vertically. If k is positive, the graph shifts down; if k is negative, it shifts up.
6.
FLASHCARD QUESTION
Front
What are the shifts of the graph f(x) = (x + 5)^3 - 11 from the parent graph?
Back
The graph shifts Left 5 and Down 11.
Tags
CCSS.HSF.BF.B.3
7.
FLASHCARD QUESTION
Front
What is the equation for the function that shifts the parent cubic function to the right by 1 unit?
Back
g(x) = (x - 1)^3.
Tags
CCSS.HSF.BF.B.3
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