Answer:
Your friend is correct.
When a figure is reflected, it is flipped. Since it is reflected on the x-axis, that is the direction it is flipped in. When flipped, the coordinate of the bottom left corner is (1, 1). When you move the figure over 5 units (which is what translating is), the coordinates are (-4, 1) which matches with the corner of the second given figure.
I hope I explained it well, and I hope I’m not too late to help.