hat are the coordinates of the vertex of the graph of the function y = –x² + 6x –11? (1 point) Responses (3, –2) (3, –2) (3, 16) (3, 16) (–3, –29) (–3, –29) (–3, –20)
To find the coordinates of the vertex of the graph of the function y = –x² + 6x – 11, we can use the formula for the x-coordinate of the vertex: x = -b/2a.
In this case, a = -1 and b = 6. Plugging these values into the formula, we get x = -6/2(-1) = -6/-2 = 3.
To find the y-coordinate of the vertex, we can substitute x = 3 into the equation y = –x² + 6x – 11: y = –(3)² + 6(3) – 11 = –9 + 18 – 11 = -2.
Therefore, the vertex of the graph is (3, -2).