Combinations of Transformations (Edexcel A-Level Mathematics): Flashcards

Translation, Stretching, Reflection.

Moves the graph 2 units to the left.

By multiplying $f(x)$ by a scale factor.

Stretch by a scale factor of 3 parallel to the $y$-axis.

Horizontal compression by a factor of $1/6$.

Reflect in the $y$-axis.

Translated up by $4$ units.

Reflection in the $x$-axis of the graph $y = x^3$.

Translate graph left by $3$ units.

$y$-values change as stated, $x$-values change oppositely.