Geometry

Question Analysis  

The main focus is to identify the vertex of a parabola from its equation, which is given in a form that opens horizontally. We need to recognize how the equation’s structure relates to the vertex coordinates.  

Key Concept Explanation  

Horizontal Parabola Vertex Form: The equation of a horizontal parabola is , where  is the vertex. Unlike vertical parabolas, the “” and “” are swapped in the formula. If a > 0, the parabola opens to the right; if a < 0, it opens to the left.  

Step-by-Step Solution  

1. Match the given equation to the vertex form:  

The equation  follows the form .  

Here, , , and .  

2. Identify the vertex:  

In the horizontal parabola form, the vertex is . Substituting the values, the vertex is