How to make an arc like motion from one end to other for my 2D sprite

[KimMingyuSVT]

In my 2D game the char goes left and right on tapping and it’s running walls so on tapping I want it to make an arc like motion when going to other wall from point A to point B but come back to same initial position in y axis but in opposite side. Idk if I explained clearly in words so here’s a photo to explain more

I want to make an arc from point A to B back and forth, it should be smooth and it’s really important it should be in same line just opposite side everytime I tap. I have also searched quite a bit, a whole day I spent on it I found Bezier curves but I don’t think that would be smooth enough but if anyone can help me then I will really appreciate it, it’s taking too much of my time please help

[Llama_w_2Ls]

You could take a look at using a sine wave.

The wave smoothes at the peaks, and accelerates and gets steeper at the edges. If you are familiar with trigonometry, sin(x) = sin(180 - x), which means that sin(30) = sin(150).

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You can choose a random point for x inbetween 0 and 180, and then use the sin wave to plot points of movement for the object, up to 180 - x, because that is where the other side of the wave is equal to the starting point. Hope that makes sense. @KimMingyuSVT