Dilations (HSC SSCE Mathematics Advanced): Flashcards

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Dilations
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Dilation definition

Transformation that stretches or compresses a graph

Horizontal dilation formula

y=f(xk)y = f\left(\frac{x}{k}\right)

Horizontal dilation when k>1k > 1

Graph stretches (becomes wider)

Horizontal dilation when 0<k<10 < k < 1

Graph compresses (becomes narrower)

Vertical dilation formula

y=lf(x)y = lf(x)

Vertical dilation when l>1l > 1

Graph stretches (becomes taller)

Vertical dilation when 0<l<10 < l < 1

Graph compresses (becomes flatter)

Combined dilation formula

y=kf(xk)y = kf\left(\frac{x}{k}\right)

Horizontal dilation scales which coordinates?

x-coordinates (y-coordinates remain unchanged)

Vertical dilation scales which coordinates?

y-coordinates (x-coordinates remain unchanged)

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