What is the general form of a cubic function?
Cubic & Cube Root Transformations

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Mathematics
•
10th - 12th Grade
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Easy
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1.
FLASHCARD QUESTION
Front
Back
f(x) = ax^3 + bx^2 + cx + d, where a, b, c, and d are constants and a ≠ 0.
2.
FLASHCARD QUESTION
Front
How does the graph of f(x) = x^3 change when transformed to f(x) = - (x + 3)^3 + 2?
Back
The graph is transformed 3 units left, 2 units up, and reflected across the x-axis.
3.
FLASHCARD QUESTION
Front
What does a vertical stretch by a factor of 5 do to the graph of a function?
Back
It makes the graph steeper, multiplying the y-values by 5.
4.
FLASHCARD QUESTION
Front
What is the cube root of 27?
Back
3
5.
FLASHCARD QUESTION
Front
What transformation occurs when you add a constant to a cubic function?
Back
The graph shifts vertically. For example, f(x) = x^3 + 6 shifts the graph up by 6 units.
6.
FLASHCARD QUESTION
Front
What does it mean to reflect a graph over the x-axis?
Back
It means that for every point (x, y) on the graph, the point (x, -y) will also be on the graph.
7.
FLASHCARD QUESTION
Front
If f(x) = x^3, what is the effect of changing it to g(x) = -f(x)?
Back
The graph is reflected over the x-axis.
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