3.1c Stating the Coordinates of the Image of a Point under a Combined Transformation
1. The coordinates of the image of a point, K, under the combined transformation AB can be determined by the following steps.
Determine the coordinates of K’, the image of K, under the first transformation, B.
Determine the coordinates of K”, the image of K’, under the second transformation, A. K” is the image of K, under the combined transformation, AB.
T, P, R and E are four transformations that are defined as follows:
P = Reflection in the y–axis.
R = Clockwise rotation 90o about the origin
E = Enlargement with scale factor of 3 and the origin as centre.
Find the coordinates of the image of the point A (3, –2) under each of the following combined transformation.
(a) TT (b) PT (c) ET (d) ER (e) EP
A(3, –2) → R → A’(–2, 3) → E → A”( –6, –9).
A(3, –2) → P → A’(–3, –2) → E → A”( –9, –6).