Book Maths Puzzle Algebra

What is vertex of the parabola whose equation is f(x) = x^2-x-6?

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Book Other Question

Hi my name is Amy I am 10 and I have a best friend name Simla and she has this other friend named Paige and now that Paige is in my class I feel as if Paige is taking my place Paige 1) x=3/x+2
2) 3-x=8/x+3
3) 3/x+1=8/x+2 - 5/x+3