
Vertical and Horizontal Shifts
Flashcard
•
Mathematics
•
11th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a vertical shift in a graph?
Back
A vertical shift occurs when a graph is moved up or down on the coordinate plane. For example, in the function y = f(x) + k, the graph shifts up k units if k > 0 and down k units if k < 0.
2.
FLASHCARD QUESTION
Front
What is a horizontal shift in a graph?
Back
A horizontal shift occurs when a graph is moved left or right on the coordinate plane. In the function y = f(x - h), the graph shifts right h units if h > 0 and left h units if h < 0.
3.
FLASHCARD QUESTION
Front
How does the equation y = (x - 3)² transform the graph of y = x²?
Back
The equation y = (x - 3)² translates the graph of y = x² to the right by 3 units.
4.
FLASHCARD QUESTION
Front
What does the equation y = |x + 5| represent in terms of horizontal shifts?
Back
The equation y = |x + 5| represents a horizontal shift of the absolute value graph to the left by 5 units.
5.
FLASHCARD QUESTION
Front
If the equation is y = x² + 5, what transformation has occurred?
Back
The equation y = x² + 5 represents a vertical shift of the graph of y = x² upwards by 5 units.
6.
FLASHCARD QUESTION
Front
What is the effect of adding a negative value to the x variable in a function?
Back
Adding a negative value to the x variable in a function, such as y = f(x + h), results in a horizontal shift to the left by h units.
7.
FLASHCARD QUESTION
Front
Describe the transformation of the graph y = -x² - 5.
Back
The graph y = -x² - 5 is a vertical shift downwards by 5 units and a reflection across the x-axis.
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