Question
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)
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GPT 3.5
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).
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).
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