Vertical translations work just like how they work with the translations of points on the coordinate plane. But this is not the case with vertical translations. Yes, this is the case with horizontal translations of functions. Surprisingly, f(x) has moved left by 2 units (instead of right by 2 units) to give f(x + 2). Here, the preimage is f(x) and the image is f(x + 2). The horizontal translations of curves that represent functions work a little differently when compared to the horizontal translations of points on the coordinate plane. Thus, the coordinates of the translated point (image) are (0, 8). Now, applying the given transoformation to this point, The coordinates of old point (preimage) are (x, y) = (2, 5).
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