Transforming equations

Transformation	Replace x with	Replace y with
Translation by \begin{pmatrix}a\\b\end{pmatrix}	x-a	y-b
Horizontal stretch by a	\frac xa
Vertical stretch by b		\frac yb
Reflect in line y=x	y	x
Reflect in line y=0		-y
Reflect in line x=0	-x
Rotate 90^\circ anticlockwise	-y	x
Rotate 90^\circ clockwise	y	-x

Inlinks