Final answer:
The correct sequence of transformations is a reflection across the y-axis.
Step-by-step explanation:
To carry one figure onto another, we need a combination of translation, rotation, reflection, and dilation. In this case, we can determine the correct sequence of transformations by comparing the corresponding vertices of both figures. Let's start by comparing the vertices A and H. From the given options, we can observe that option C) y = x + 4 reflects the figure across the y-axis. Now, let's compare the vertices B and G. Since there is no option that directly rotates or translates the figure, we can eliminate all other options except for C. Finally, let's compare the vertices C and F. We can see that option C) does not change the orientation of the figure. Hence, the correct sequence of transformations is reflection across the y-axis.