Question

what combination of transformations is shown below?
reflection, then translation
translation, then reflection
reflection, then rotation
translation, then rotation

Explanation:

Step1: Analyze reflection

A reflection flips a figure over a line. If we assume the original figure (say figure 1) is reflected over a vertical line (since the orientation of the figure in terms of left - right changes in a mirror - like way), we get a reflected image.

Step2: Analyze translation

A translation slides a figure without rotating or reflecting it. After the reflection, the reflected figure is moved (translated) horizontally to get to the final position (figure 3).

Answer:

reflection, then translation