Math - Completing the Square - Challenge

I’m glad I could help.
Be sure to keep asking questions whenever something doesn’t quite make sense, and I’ll happily provide extra details if I can.

y = (-1/3)(x^2) + (10/3)x - (16/3)
-3y = (x^2) - 10x + 16
-3y = ((x - 5)^2) -25 + 16
-3y = ((x - 5)^2) -9
y = (-1/3)((x-5)^2) + 3
vertex is (5,3)

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