In y = a(x - h)^2 + k, if |a| > 1, the parabola is

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Multiple Choice

In y = a(x - h)^2 + k, if |a| > 1, the parabola is

Explanation:
The key idea is that in the vertex form y = a(x − h)² + k, the parameter a controls how the graph scales in the vertical direction. The vertex is at (h, k), so h shifts the graph left/right and k shifts it up/down, but the width is determined by a. When the magnitude of a is greater than 1, the y-values get amplified more for each unit you move away from the vertex, so the parabola becomes steeper and narrower. This is called a vertical stretch. If 0 < |a| < 1, it would be a vertical compression (wider). If a is negative, the parabola opens downward but is still stretched by the magnitude |a|. So with |a| > 1, the parabola is vertically stretched.

The key idea is that in the vertex form y = a(x − h)² + k, the parameter a controls how the graph scales in the vertical direction. The vertex is at (h, k), so h shifts the graph left/right and k shifts it up/down, but the width is determined by a.

When the magnitude of a is greater than 1, the y-values get amplified more for each unit you move away from the vertex, so the parabola becomes steeper and narrower. This is called a vertical stretch. If 0 < |a| < 1, it would be a vertical compression (wider). If a is negative, the parabola opens downward but is still stretched by the magnitude |a|.

So with |a| > 1, the parabola is vertically stretched.

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