Question

determine a series of transformations that would map figure j onto figure k.

Explanation:

Step1: Analyze vertical movement

The $y$ - coordinates of the vertices of Figure $J$ are higher than those of Figure $K$. The difference in the $y$ - values of corresponding vertices is about $4$ units. So, a translation $4$ units down is the first step. Let $(x,y)$ be a point on Figure $J$, after translation $4$ units down, the new point is $(x,y - 4)$.

Step2: Analyze horizontal movement

After the vertical translation, we observe that the $x$ - coordinates of the vertices of the translated - Figure $J$ need to be increased by about $2$ units to match Figure $K$. So, a translation $2$ units to the right is the second step. If a point after the first - step translation is $(x,y - 4)$, after translation $2$ units to the right, the new point is $(x + 2,y - 4)$.

Answer:

A translation 4 units down and 2 units to the right.