Algebra-1

The function is a downward-opening parabola. Let’s break down the end behavior in detail:

End Behavior Explanation:

1.As :

As you move left along the x-axis toward negative infinity, the parabola decreases from its highest point (the vertex).

Consequently, the y-values also decrease and approach negative infinity.

This means that as x goes to negative infinity, y tends toward .

2.As :

Similarly, as you move right along the x-axis toward positive infinity, the y-values continue to decrease from the vertex.

Thus, as x increases, y also heads toward negative infinity.

Therefore, as x approaches positive infinity, y again approaches

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