Question

identify a sequence of rigid transformations that would map (abcd
ightarrow abcd). give your answer in the form of a composition transformation mapping.
(1 point)
((x,y)
ightarrow(-x,y - 4)
(x,y)
ightarrow(x,-y - 4)
(x,y)
ightarrow(-x - 4,y)
(x,y)
ightarrow(x,y + 4))

Explanation:

Step1: Analyze x - coordinate transformation

A reflection over the y - axis changes the x - coordinate from \(x\) to \(-x\).

Step2: Analyze y - coordinate transformation

A translation down by 4 units changes the y - coordinate from \(y\) to \(y - 4\).

Answer:

\((x,y)\to(-x,y - 4)\)