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Algebra Transformations Flashcards

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Questions and Answers

What is the formula for vertical translation up?

g(x) = f(x) + k (correct)

g(x) = f(x - k)

g(x) = f(x + k)

g(x) = f(x) - k

What is the formula for vertical translation down?

g(x) = f(x + k)

g(x) = f(x) + k

g(x) = f(x - k)

g(x) = f(x) - k (correct)

What is the formula for horizontal translation left?

g(x) = f(x + k) (correct)

g(x) = f(x - k)

g(x) = f(-x)

g(x) = -(f(x))

What is the formula for horizontal translation right?

g(x) = f(x - k) Signup and view all the answers

What is the formula for vertical reflection over the x-axis?

g(x) = -(f(x)) Signup and view all the answers

What is the formula for horizontal reflection over the y-axis?

g(x) = f(-x) Signup and view all the answers

What is the formula for vertical transformation stretch?

g(x) = a · f(x) where a > 1 Signup and view all the answers

What is the formula for vertical transformation compress?

g(x) = a · f(x) where 0 < a < 1 Signup and view all the answers

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.