
Transformation of Functions - Practice
Flashcard
•
Mathematics
•
10th - 12th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a transformation of a function?
Back
A transformation of a function refers to the changes made to the graph of the function, which can include translations, reflections, stretches, and compressions.
2.
FLASHCARD QUESTION
Front
What does it mean to translate a function left or right?
Back
Translating a function left or right involves shifting the graph horizontally. A positive value inside the function's argument (e.g., f(x + c)) translates it left by c units, while a negative value (e.g., f(x - c)) translates it right by c units.
3.
FLASHCARD QUESTION
Front
What is a vertical stretch of a function?
Back
A vertical stretch occurs when the output values of a function are multiplied by a factor greater than 1, making the graph taller.
4.
FLASHCARD QUESTION
Front
What is a reflection of a function over the x-axis?
Back
A reflection over the x-axis means that for every point (x, y) on the graph, the point (x, -y) will also be on the graph, effectively flipping it upside down.
5.
FLASHCARD QUESTION
Front
What is the parent function of a quadratic function?
Back
The parent function of a quadratic function is y = x², which is the simplest form of a quadratic function.
6.
FLASHCARD QUESTION
Front
How do you identify a quadratic function translated left 4 units?
Back
A quadratic function translated left 4 units can be represented as y = (x + 4)², shifting the vertex of the parabola 4 units to the left.
7.
FLASHCARD QUESTION
Front
What does the notation f(x + c) indicate?
Back
The notation f(x + c) indicates a horizontal translation of the function f(x) to the left by c units.
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