Multiple Transformations (HSC SSCE Mathematics Advanced): Flashcards

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Multiple Transformations
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What multiple transformations combine

Translations, reflections, and dilations

Default order for transformations

Dilations & reflections first, then translations

Reflect over y-axis method

Replace xx with −x-x

Reflect over x-axis method

Multiply function by −1-1

Translate left by nn units

Replace xx with x+nx + n

Translate right by nn units

Replace xx with x−nx - n

Vertex of y=a(x−h)2+ky = a(x - h)^2 + k

(h,k)(h, k)

Vertical asymptote location for rational function

Where denominator equals zero

Horizontal asymptote after translating up by cc

Original asymptote +c+ c

When parabola opens downward

When a<0a < 0 (concave down)

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