Transformations Algebra 2
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a transformation in algebra?
Back
A transformation in algebra refers to the process of changing the position, size, or shape of a graph. This can include translations, reflections, stretches, and compressions.
2.
FLASHCARD QUESTION
Front
What does a translation of a graph involve?
Back
A translation involves shifting the graph of a function horizontally and/or vertically without changing its shape.
3.
FLASHCARD QUESTION
Front
How does the equation g(x) = (x - 3)^2 transform the graph of f(x) = x^2?
Back
The equation g(x) = (x - 3)^2 translates the graph of f(x) = x^2 to the right by 3 units.
4.
FLASHCARD QUESTION
Front
What is the effect of a vertical stretch on a graph?
Back
A vertical stretch occurs when the output values of a function are multiplied by a factor greater than 1, making the graph taller.
5.
FLASHCARD QUESTION
Front
What does the equation g(x) = 2f(x) do to the graph of f(x)?
Back
The equation g(x) = 2f(x) vertically stretches the graph of f(x) by a scale factor of 2.
6.
FLASHCARD QUESTION
Front
What is the general form of a quadratic function?
Back
The general form of a quadratic function is f(x) = ax^2 + bx + c, where a, b, and c are constants.
7.
FLASHCARD QUESTION
Front
How do you represent a vertical shift in a function?
Back
A vertical shift is represented by adding or subtracting a constant from the function, e.g., f(x) + k, where k is the shift amount.
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