Book Maths Puzzle Algebra

Using y = Ax^2 + Bx + C

find the coordinates of the max/min point. you may want to put the form in
y=(x-h)^2+k

also, what determines if the point is a max or a min? (by the

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Book Other Question

Write a rule for the quadratic function if
x- -1 0 1
f(x)- 6 5 6
thank you for your help
I have a equation.

(x+1) exponent is 2/5 - 3(x+1) exponent is 1/5 - 2=0

I know how to get to the answer replacing (x+1)1/5 with U to the 2nd power, but I don't understand w