Transformations of Linear Functions

Flashcard
•
Mathematics
•
8th - 9th Grade
•
Hard
+1
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a vertical compression of a function?
Back
A vertical compression occurs when the output values of a function are multiplied by a factor between 0 and 1, making the graph 'squish' towards the x-axis.
2.
FLASHCARD QUESTION
Front
What happens to the graph of a function when it is reflected across the x-axis?
Back
When a function is reflected across the x-axis, all the y-values of the function are multiplied by -1, resulting in an upside-down version of the original graph.
Tags
CCSS.HSF.BF.B.3
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 'stretch' away from the x-axis.
4.
FLASHCARD QUESTION
Front
How does the equation y = f(x) + k transform the graph of f(x)?
Back
The equation y = f(x) + k translates the graph of f(x) vertically by k units. If k is positive, the graph shifts up; if k is negative, it shifts down.
5.
FLASHCARD QUESTION
Front
What does the transformation y = -f(x) represent?
Back
The transformation y = -f(x) reflects the graph of f(x) across the x-axis.
Tags
CCSS.HSF.BF.B.3
6.
FLASHCARD QUESTION
Front
What is the effect of replacing f(x) with f(x - h)?
Back
Replacing f(x) with f(x - h) translates the graph of f(x) horizontally to the right by h units.
7.
FLASHCARD QUESTION
Front
What does the transformation y = f(x + h) do to the graph of f(x)?
Back
The transformation y = f(x + h) translates the graph of f(x) horizontally to the left by h units.
Tags
CCSS.HSF.BF.B.3
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