Mathematics: 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)

19095705.3333 is the answer hope i helped!...

What are the coordinates of the vertex of the

lelen2021

17.01.2022

A. (3,-2)

Step-by-step explanation:

We have been given a function formula y=-x^2+6x-11 . We are asked to find the coordinates of the vertex of the graph.

We know that the x-coordinate of an equation in form y=ax^2+bx+c can be determined using formula $\frac{-b}{2a}$ .

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

$\frac{-6}{2(-1)}$

$\frac{-6}{-2}$

Now, we will substitute x=3 in given formula to find y-coordinate.

y=-(3)^2+6(3)-11

y=-9+18-11

y=-2

Therefore, the coordinates of vertex of the given function are (3,-2) .

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