Question

when looking at the diagram below, the pre - image is figure k which is transformed somehow to figure s and then transformed to figure u. choose the correct combination of transformations.

Explanation:

Step1: Analyze K to S transformation

By observing the graph, figure K is reflected across the y - axis to get figure S. A reflection across the y - axis has the rule $(x,y)\to(-x,y)$.

Step2: Analyze S to U transformation

Figure S is then translated 4 units down. A translation 4 units down has the rule $(x,y)\to(x,y - 4)$.

Answer:

Reflection across the y - axis then translation 4 units down.