Linear Transformation Flashcard
Flashcard
•
Mathematics
•
8th - 9th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a parent function?
Back
A parent function is the simplest form of a function in a family of functions, which can be transformed to create other functions.
2.
FLASHCARD QUESTION
Front
What does it mean to shift a function down?
Back
Shifting a function down means to decrease the output values of the function by a certain amount, moving the graph downward on the coordinate plane.
3.
FLASHCARD QUESTION
Front
What is the slope of a line?
Back
The slope of a line is a measure of its steepness, calculated as the rise over run (change in y over change in x).
4.
FLASHCARD QUESTION
Front
How does a steeper line compare to a less steep line?
Back
A steeper line has a greater absolute value of slope compared to a less steep line, indicating it rises or falls more sharply.
5.
FLASHCARD QUESTION
Front
What is the effect of adding a constant to a function?
Back
Adding a constant to a function shifts the graph vertically. If the constant is positive, it shifts up; if negative, it shifts down.
6.
FLASHCARD QUESTION
Front
What does the equation f(x) = mx + b represent?
Back
This equation represents a linear function, where m is the slope and b is the y-intercept.
7.
FLASHCARD QUESTION
Front
What happens to the graph of a function when the slope is increased?
Back
Increasing the slope makes the graph steeper, meaning it rises or falls more quickly.
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