We have two trapezoids: A and B.
B is the image of A after at least two transformations.
One of the transformations is a reflection. We can find what type of reflection by looking at how two of the vertices or the sides are transformed.
We can see that if we take the longest base and the shortest base, they have their image on the other side of the horizontal axis. Then, we can conclude, as there is no change in the shape, that this transformation is a reflection across the horizontal axis (x-axis).
The other transformation is a translation along the horizontal axis.
We can calculate how many units it is translated by identifying one vertex and its image. We can see it in the graph like this:
We can see that, after the reflection, the point is translated 9 units to the right. This will happens for all the points in the pre-image, but we use one point to find the distance.
Then, we can list the transformations:
0. Reflection across the x-axis.
,
1. Translation 9 units to the right.
Answer:
reflection across the x-axis, then translation 9 unit squares to the right [Option B]