To identify the vertex of the parabola on the graph described, you need to look for the point where the parabola reaches its maximum or minimum value. Based on the provided answer choices, the format of the vertex can either be given as a point (x,y) or as a x-value only.
- (−12,0)
- (−10,0)
- x=−11
- (−11,−1)
Without viewing the actual graph, I can provide guidance on how to determine the vertex:
- The vertex of a parabola can often be found at the peak or the lowest point, depending on whether it opens up or down.
- If the parabola opens upwards, the y-value at the vertex will be the minimum, and if it opens downwards, it will be the maximum.
- The x-coordinate of the vertex can sometimes be found using the formula for the x-coordinate of the vertex of a parabola in standard form, which is given by \( x = -\frac{b}{2a} \) for a quadratic equation in the form \( y = ax^2 + bx + c \).
Given the options you provided, if the parabola opens upwards, then the point that appears lowest on the graph would be the vertex. If the graph is symmetric and has a clear peak, you can also count the grid lines to determine its exact coordinates.
From the options, if we have to select one without seeing the graph, we might lean towards the middle choices since they are likely the vertex based on typical placements of parabolas.
If I had to decide based on common characteristics and assuming the vertex is near the center of your x-axis range, I would suggest:
(−11,−1)
However, if you have a specific opening direction or can inspect the graph, please check the vertex accordingly.
1 answer