Question

which choice shows the image of figure 1 being transformed with a translation of 4 units down followed by a rotation of 90° counterclockwise around the origin?

Explanation:

Step1: Analyze translation

Translation of 4 units down: subtract 4 from the \(y -\)coordinate of each point of Figure 1.

Step2: Analyze rotation

Rotation of \(90^{\circ}\) counter - clockwise around the origin: use the transformation rule \((x,y)\to(-y,x)\). After translation \((x,y - 4)\), after rotation \((-(y - 4),x)=(-y + 4,x)\).

Answer:

The first option (the left - most figure among the three options)