
Transformations of Functions and Graphs
Flashcard
•
Mathematics
•
9th - 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 a function, which can include translations, reflections, stretches, and compressions.
2.
FLASHCARD QUESTION
Front
What is a vertical translation?
Back
A vertical translation shifts the graph of a function up or down. For example, if f(x) = x^2, then g(x) = x^2 + 5 shifts the graph up by 5 units.
3.
FLASHCARD QUESTION
Front
What is a horizontal translation?
Back
A horizontal translation shifts the graph of a function left or right. For example, if f(x) = x^2, then g(x) = (x - 5)^2 shifts the graph right by 5 units.
4.
FLASHCARD QUESTION
Front
What is a reflection in the x-axis?
Back
A reflection in the x-axis flips the graph of a function over the x-axis. For example, if f(x) = x^2, then g(x) = -x^2 reflects the graph over the x-axis.
5.
FLASHCARD QUESTION
Front
What is a reflection in the y-axis?
Back
A reflection in the y-axis flips the graph of a function over the y-axis. For example, if f(x) = x^2, then g(x) = (-x)^2 reflects the graph over the y-axis.
6.
FLASHCARD QUESTION
Front
What is a vertical stretch?
Back
A vertical stretch occurs when the graph of a function is stretched away from the x-axis. For example, if f(x) = x^2, then g(x) = 2x^2 stretches the graph vertically by a factor of 2.
7.
FLASHCARD QUESTION
Front
What is a vertical compression?
Back
A vertical compression occurs when the graph of a function is compressed towards the x-axis. For example, if f(x) = x^2, then g(x) = 0.5x^2 compresses the graph vertically by a factor of 0.5.
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