Questions and Answers
What is the formula for vertical translation up?
What is the formula for vertical translation down?
What is the formula for horizontal translation left?
What is the formula for horizontal translation right?
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What is the formula for vertical reflection over the x-axis?
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What is the formula for horizontal reflection over the y-axis?
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What is the formula for vertical transformation stretch?
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What is the formula for vertical transformation compress?
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Study Notes
Vertical Translations
- Vertical translation up: Shifts the graph upward; represented as g(x) = f(x) + k.
- Vertical translation down: Moves the graph downward; expressed as g(x) = f(x) - k.
Horizontal Translations
- Horizontal translation left: Translates the graph to the left; defined as g(x) = f(x + k).
- Horizontal translation right: Moves the graph to the right; given by g(x) = f(x - k).
Reflections
- Vertical reflection over the x-axis: Flips the graph upside down; represented as g(x) = -(f(x)).
- Horizontal reflection over the y-axis: Inverts the graph horizontally; expressed as g(x) = f(-x).
Vertical Transformations
- Vertical stretch: Expands the graph vertically when a > 1; defined by g(x) = a · f(x).
- Vertical compression: Shrinks the graph vertically when 0 < a < 1; represented as g(x) = a · f(x).
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Description
Test your understanding of algebraic transformations with these flashcards. Each card features a term related to vertical and horizontal translations, as well as reflections. Perfect for students looking to strengthen their knowledge in algebra.
