I am having trouble understanding a problem that has been explained to me. I previously believed that I understood how to convert an equation from standard to vertex form (completing the sqaure) however, this question, and the subsequent answer has stumped me. Can anyone make sense of this for me?

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Solve for vertex:

h(d) = -0.051(d)^2 + 2.04(d) + 1.6

Now, here I will try to put the answer I was given, but it is rather complicated and I am not sure of my ability to explain it using a keyboard. I have no idea how to use math coding.

h(d) = -0.051(d^2 -2.04(d) + (2.04)^2) + 0.051(2.04)^2 + 1.6

-------------------0.051------0.102------------0.102

h(d) = -0.051(d-20)^2 + 22

Therefore, the vertex is (20,22)

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Am I missing something or is this a problem that is not solved by the standard complete the square method? To put it simply I do not understand the solution at all, can anyone help my confusion?