Question
The graph of a parabola with vertex (2,−1)
and focus (−3,−1)
opens
Answers
GPT-4o mini
To determine the direction in which the parabola opens, we can analyze the positions of the vertex and the focus.
The vertex of the parabola is at (2, -1) and the focus is at (-3, -1). Since both the vertex and the focus have the same y-coordinate (-1), this indicates that the parabola opens horizontally.
To determine the specific direction, we look at the x-coordinates of the vertex and focus. The focus (-3, -1) has an x-coordinate that is less than the x-coordinate of the vertex (2). This means that the focus is to the left of the vertex.
Since the focus is to the left of the vertex, the parabola opens to the left.
In conclusion, the parabola opens **to the left**.
The vertex of the parabola is at (2, -1) and the focus is at (-3, -1). Since both the vertex and the focus have the same y-coordinate (-1), this indicates that the parabola opens horizontally.
To determine the specific direction, we look at the x-coordinates of the vertex and focus. The focus (-3, -1) has an x-coordinate that is less than the x-coordinate of the vertex (2). This means that the focus is to the left of the vertex.
Since the focus is to the left of the vertex, the parabola opens to the left.
In conclusion, the parabola opens **to the left**.