Algebra-1

To determine the range of the upward-opening quadratic function :

1.Graph Shape: From the graph, we can observe that it is a parabola that opens upward, indicating that it has a minimum point.

2.Vertex: The vertex is located at (-1, 0), which is the lowest point on the graph. This means the function achieves a minimum value of 0 at this point.

3.Vertical Extent: Since the parabola opens upward, the y-values will extend infinitely upwards from the vertex. Therefore, the function can take any value greater than or equal to 0.

4.Conclusion: Based on these observations, the range of this quadratic function is:

{y | y ≥ 0}

This means the function outputs all real numbers starting from 0 and extending to positive infinity. In set notation, this can be expressed as: {y |