Question

determine a series of transformations that would map figure k onto figure l

Explanation:

Step1: Observe the orientation

The two figures are mirror - images of each other across the y - axis. A reflection over the y - axis changes the sign of the x - coordinates of all points while keeping the y - coordinates the same.
Let a point on Figure K be \((x,y)\), after reflection over the y - axis, it becomes \((-x,y)\).

Step2: Confirm no other transformation

There is no need for rotation, translation or dilation as the size and shape of the figures are the same and no further re - positioning is required.

Answer:

A reflection over the y - axis would map Figure K onto Figure L.