Santana says the image is formed from the pre-image by a reflection across the y-axis followed by a translation 2 units to the right, in that order. Is Santana’s thinking correct?

No. From how I see it, it appears that it would be a translation 2 units to the LEFT.
Santana's thinking is incorrect and this can be determined by using the rules of transformation.
Given :
Statement -- Santana says the image is formed from the pre-image by a reflection across the y-axis followed by a translation of 2 units to the right, in that order.
The following steps can be used in order to check the given statement is correct or not:
Step 1 - According to the given graph, the reflection of the pre-image is taken across the y-axis.
Step 2 - Now, translate the graph obtained in the above step by 2 units in the left direction.
Step 3 - So, from the above steps, it can be concluded that Santana's thinking is incorrect.
For more information, refer to the link given below:
https://brainly.com/question/4700926