5.6 Transforming Linear Equations

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Mathematics
•
9th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the parent function of linear equations?
Back
The parent function of linear equations is f(x) = x.
2.
FLASHCARD QUESTION
Front
How does the slope of a linear equation affect its steepness?
Back
A larger absolute value of the slope indicates a steeper line, while a smaller absolute value indicates a less steep line.
3.
FLASHCARD QUESTION
Front
What transformation occurs when a linear function is shifted up by a certain number of units?
Back
The transformation is described as the graph being shifted UP by that number of units.
4.
FLASHCARD QUESTION
Front
If a linear equation has a slope of 5, how does it compare in steepness to the parent function?
Back
The equation y = 5x is STEEPER than the parent function y = x.
5.
FLASHCARD QUESTION
Front
What is the effect of a slope of 1/3 on the steepness of a linear graph compared to the parent function?
Back
The equation y = (1/3)x is LESS STEEP than the parent function y = x.
6.
FLASHCARD QUESTION
Front
What does it mean for a linear function to be transformed vertically?
Back
Vertical transformation refers to shifting the graph up or down along the y-axis.
7.
FLASHCARD QUESTION
Front
How can you determine if one linear equation is steeper than another?
Back
Compare the absolute values of their slopes; the one with the larger absolute value is steeper.
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