Transformations of Parent Functions

Flashcard
•
Mathematics
•
9th Grade
•
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 a change in the position, size, or shape of its graph. This can include translations, reflections, stretches, and compressions.
Tags
CCSS.HSF.BF.B.3
2.
FLASHCARD QUESTION
Front
What does it mean to shift a graph to the right?
Back
Shifting a graph to the right means adding a positive value to the input of the function. For example, in the function y = f(x - 4), the graph shifts right by 4 units.
3.
FLASHCARD QUESTION
Front
What is a vertical translation?
Back
A vertical translation moves the graph of a function up or down. For example, f(x) + 2 translates the graph up by 2 units.
4.
FLASHCARD QUESTION
Front
What is a horizontal translation?
Back
A horizontal translation moves the graph of a function left or right. For example, f(x + 3) translates the graph left by 3 units.
5.
FLASHCARD QUESTION
Front
What does a vertical stretch do to a graph?
Back
A vertical stretch increases the distance between points on the graph and the x-axis. For example, in y = 3f(x), the graph is stretched vertically by a factor of 3.
6.
FLASHCARD QUESTION
Front
What is a reflection in the x-axis?
Back
A reflection in the x-axis flips the graph over the x-axis. For example, y = -f(x) reflects the graph of f(x) across the x-axis.
7.
FLASHCARD QUESTION
Front
How does the equation y = f(x) - 5 transform the graph?
Back
The equation y = f(x) - 5 shifts the graph down by 5 units.
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