Shape P P\,P and shape Q Q\,Q are drawn on a coordinate grid.
Shape P P\,P has vertices (1,1)(1, 1)(1,1), (4,1)(4, 1)(4,1) and (4,3)(4, 3)(4,3). Shape Q Q\,Q has vertices (1,−1)(1, -1)(1,−1), (4,−1)(4, -1)(4,−1) and (4,−3)(4, -3)(4,−3).
Describe fully the single transformation that maps shape P P\,P onto shape QQQ.