Transformations of Linear Functions
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•
Mathematics
•
9th Grade
•
Hard
+2
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a linear function?
Back
A linear function is a function that can be graphically represented as a straight line. It has the form f(x) = mx + b, where m is the slope and b is the y-intercept.
Tags
CCSS.8.F.B.4
CCSS.HSF.LE.A.2
2.
FLASHCARD QUESTION
Front
What does the slope of a linear function represent?
Back
The slope of a linear function represents the rate of change of the function. It indicates how much the y-value changes for a one-unit increase in the x-value.
Tags
CCSS.8.EE.B.5
3.
FLASHCARD QUESTION
Front
What is the y-intercept of a linear function?
Back
The y-intercept is the point where the graph of the function crosses the y-axis. It is represented by the value of b in the function f(x) = mx + b.
4.
FLASHCARD QUESTION
Front
How does changing the slope of a linear function affect its graph?
Back
Changing the slope affects the steepness of the graph. A larger slope value results in a steeper line, while a smaller slope value results in a less steep line.
5.
FLASHCARD QUESTION
Front
What happens to the graph of f(x) = x when you subtract a constant from it?
Back
Subtracting a constant from f(x) = x shifts the graph downward by that constant value.
6.
FLASHCARD QUESTION
Front
If the slope of a linear function is increased, what can be said about the graph?
Back
If the slope is increased, the graph becomes steeper.
7.
FLASHCARD QUESTION
Front
What does it mean to translate a graph vertically?
Back
Translating a graph vertically means shifting the entire graph up or down without changing its shape.
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