What is the vertex of the graph? The parabola passes through the points left parenthesis negative 1 comma negative 1 right parenthesis, left parenthesis 0 comma 2 right parenthesis, left parenthesis 1 comma 3 right parenthesis, left parenthesis 2 comma 2 right parenthesis, and left parenthesis 3 comma negative 1 right parenthesis, (1 point) Responses (2, 2) (2, 2) (1, 3) (1, 3) (3, 1) (3, 1) (0, 2) (0, 2)
To find the vertex of the graph, we can look for the x-coordinate of the vertex, which is the average of the x-coordinates of the points the parabola passes through.
The x-coordinate of the vertex = (-1 + 0 + 1 + 2 + 3)/5 = 1
Next, we can find the y-coordinate of the vertex by substituting the x-coordinate we found into the equation of the parabola or by looking at the y-coordinate of any of the given points.
The y-coordinate of the vertex = 3
Therefore, the vertex of the graph is (1, 3).