Multiple Mirrors

If we have one or more reflections with mirror line parallel to the y-axis, let's readjust our origin if necessary so that the mirror line of one of them (call it r) actually is the y axis.

Recall $\tau$ was our smallest translation, one step to the right. What kinds of symmetries are the following compositions?

$r \circ \tau$:

i.e. first translate then reflect.

$\tau \circ r$:

If any of these are reflections, then what are their mirrors?