Graph Transformations (Edexcel GCSE Maths): Flashcards

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Graph transformations
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13 cards from this deck

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How many main types of graph transformations?

Five

Formula for vertical stretch/squash

y=k×f(x)y = k \times f(x)

Effect when k>1k > 1 in y=k×f(x)y = k \times f(x)

Vertical stretch (graph becomes taller)

Effect when 0<k<10 < k < 1 in y=k×f(x)y = k \times f(x)

Vertical squash (graph becomes shorter)

Formula for vertical shift

y=f(x)+ay = f(x) + a

Effect of positive aa in y=f(x)+ay = f(x) + a

Graph shifts upward

Formula for horizontal shift

y=f(xa)y = f(x - a)

Direction when aa is positive in y=f(xa)y = f(x - a)

Right (opposite to what you'd expect)

Formula for horizontal stretch/squash

y=f(kx)y = f(kx)

Effect when k>1k > 1 in y=f(kx)y = f(kx)

Horizontal squash (narrower)

Effect when 0<k<10 < k < 1 in y=f(kx)y = f(kx)

Horizontal stretch (wider)

Formula for reflection across x-axis

y=f(x)y = -f(x)

Formula for reflection across y-axis

y=f(x)y = f(-x)

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