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

(3, –2)
(3, 16)
(–3, –29)
(–3, –20)

A.

Step-by-step explanation:

We have been given a function formula . We are asked to find the coordinates of the vertex of the graph.

We know that the x-coordinate of an equation in form can be determined using formula .

We can see that value of b is 6 and value of a is -1.

Now, we will substitute in given formula to find y-coordinate.

Therefore, the coordinates of vertex of the given function are .

1 x=22.52

2: 65/39=604+39x

65x-39x=604

26x=604

x=604/26

×=23.23