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?

<p>g(x) = f(x - k) (B)</p> Signup and view all the answers

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

<p>g(x) = -(f(x)) (D)</p> Signup and view all the answers

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

<p>g(x) = f(-x) (B)</p> Signup and view all the answers

What is the formula for vertical transformation stretch?

<p>g(x) = a · f(x) where a &gt; 1 (D)</p> Signup and view all the answers

What is the formula for vertical transformation compress?

<p>g(x) = a · f(x) where 0 &lt; a &lt; 1 (B)</p> Signup and view all the answers

Flashcards

Vertical Translation Up

g(x) = f(x) + k

Vertical Translation Down

g(x) = f(x) - k

Horizontal Translation Left

g(x) = f(x + k)

Horizontal Translation Right

g(x) = f(x - k)

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Vertical Reflection over X-axis

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

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Horizontal Reflection over Y-axis

g(x) = f(-x)

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Vertical Transformation Stretch

g(x) = a · f(x) where a > 1

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Vertical Transformation Compress

g(x) = a · f(x) where 0 < a < 1

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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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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.

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