Transformations & asymptotes

Translations, reflections and stretches of graphs, including reciprocal and linear rational functions with vertical and horizontal asymptotes.

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Linear Transformations

Transformations & asymptotes

Linear transformations of graphs and points: translations by a vector (ab), vertical and horizontal stretches y=af(x) and y=f(qx), vertical and horizontal translations y=f(x)+b and y=f(x−a), and reflections in the x- and y-axes.

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Rational functions

Transformations & asymptotes

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Transformations & asymptotes

Translations, reflections and stretches of graphs, including reciprocal and linear rational functions with vertical and horizontal asymptotes.

Sign up to view your learning progress

Sign up

Choose a concept to study or jump straight into the problem bank.

Concepts

Start Here

Linear Transformations

Transformations & asymptotes

Linear transformations of graphs and points: translations by a vector (ab), vertical and horizontal stretches y=af(x) and y=f(qx), vertical and horizontal translations y=f(x)+b and y=f(x−a), and reflections in the x- and y-axes.