What are the coordinates of the vertex of the graph of the function y = –x² + 6x –11?

Question

A.(3, –2)
B.(3, 16)
C.(–3, –29)
D.(–3, –20)

I think it is A. Can you show me your work. I am not positive on the answer..Thanks

Answer 1

x = - b / 2 a

x = - 6 / [ 2 * ( - 1 ) ]

x = - 6 / - 2 = 3

y = - 3 ^ 2 + 6 * 3 - 11

y = - 9 + 18 - 11 = - 2

Answer A

Answer 2

Thank you very much