Cubic & Cube Root Transformations

Flashcard
•
Mathematics
•
10th - 12th Grade
•
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 cube root of a number?
Back
The cube root of a number x is a value y such that y^3 = x. It is denoted as ∛x.
Tags
CCSS.8.EE.A.2
3.
FLASHCARD QUESTION
Front
What does a vertical stretch by a factor of k mean?
Back
A vertical stretch by a factor of k means that the y-values of the function are multiplied by k, making the graph taller.
4.
FLASHCARD QUESTION
Front
What does a vertical shrink by a factor of k mean?
Back
A vertical shrink by a factor of k means that the y-values of the function are multiplied by 1/k, making the graph shorter.
5.
FLASHCARD QUESTION
Front
What is a translation of a graph?
Back
A translation of a graph involves shifting the graph horizontally or vertically without changing its shape.
6.
FLASHCARD QUESTION
Front
What does it mean to reflect a graph over the x-axis?
Back
Reflecting a graph over the x-axis means that for every point (x, y) on the graph, the point (x, -y) will also be on the graph.
7.
FLASHCARD QUESTION
Front
What does it mean to reflect a graph over the y-axis?
Back
Reflecting a graph over the y-axis means that for every point (x, y) on the graph, the point (-x, y) will also be on the graph.
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