Combining transformations - Higher - Transformations - AQA - GCSE Maths Revision - AQA

Combining transformations - Higher

Sometimes a shape is transformed using more than one step, for example a reflection followed by a rotation.

The combination of transformations can usually be described as a single transformation.

Image caption,
Draw the mirror line x = 2. Reflect the shape V in this line and label it X
Image caption,
Rotate the shape X 180° about the point (1,0). Label this image Y

To describe the transformation from V to Y as a single transformation, it is a translation by the \(\begin{pmatrix} -2 \\ -2 \end{pmatrix}\).

Describe a single transformation that is equivalent to a reflection in the \(y\)-axis followed by a reflection in the \(x\)-axis.