Transformations of Exponential Functions
Flashcard
•
Mathematics
•
8th - 9th Grade
•
Practice Problem
•
Hard
Standards-aligned
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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 shifts, stretches, compressions, and reflections.
Tags
CCSS.HSF.BF.B.3
2.
FLASHCARD QUESTION
Front
What does a vertical shift of a function do?
Back
A vertical shift moves the graph of the function up or down without changing its shape.
3.
FLASHCARD QUESTION
Front
What effect does adding a constant to the function have?
Back
Adding a constant to the function shifts the graph vertically. For example, if f(x) is transformed to f(x) + 3, the graph shifts up by 3 units.
4.
FLASHCARD QUESTION
Front
What does the equation g(x) = f(x - 3) represent?
Back
The equation g(x) = f(x - 3) represents a horizontal shift of the graph of f(x) to the right by 3 units.
5.
FLASHCARD QUESTION
Front
What is the effect of a negative coefficient in front of a function?
Back
A negative coefficient reflects the graph across the x-axis.
6.
FLASHCARD QUESTION
Front
How does a coefficient greater than 1 affect the graph of a function?
Back
A coefficient greater than 1 vertically stretches the graph of the function.
7.
FLASHCARD QUESTION
Front
What does a coefficient between 0 and 1 do to the graph?
Back
A coefficient between 0 and 1 vertically compresses the graph of the function.
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