The point (5, 3) has an image of (2, –1) under a translation of left 3 and down 4 units. Which sequence of transformations produces the same image?

Translate (5, 3) left 3 units and down 2 units to get (2, 1). Reflecting (2, 1) over the x-axis changes the y-coordinate to its opposite, giving (2, −1), the desired image. So the correct sequence is to translate left 3 units and down 2 units, then reflect over the x-axis.

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