Let’s explore the end behavior of an upward-opening parabola:
End Behavior of an Upward-Opening Parabola:
1.As :
When you move left along the x-axis (towards negative infinity), the parabola rises from its vertex, which is the lowest point.
This means that the y-values increase indefinitely as you go further left.
Therefore, we can say that .
2.As :
Moving right along the x-axis (towards positive infinity), the parabola continues to rise beyond the vertex.
As a result, the y-values also increase indefinitely as you move further right.
Hence,