It might be step 4 where it got dropped by step 3
There are 6 letters in the word "autumn" so
6! = 6*5*4*3*2*1 = 720
represents the number of ways to arrange the letters (order matters)
Note how there are two letter "u"s here which can't be told apart. If we could tell them apart, then the answer would be 720. However, we can't tell them apart. So we're doubly counting things. To undo this, we divide by 2
720/2 = 360
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Final Answer: 360
Reflecting across the x axis maintains the same x coordinate, but changes the sign of the y coordinate.
So, the transformation is

The nearest hundredth would be 0.17