Geometry

Question Analysis

The main focus is to extract the vertex coordinates from the given parabolic equation. We need to understand the relationship between the equation's form and the vertex.

Key Concept Explanation

Vertex - form of a parabola: The equation  is the vertex - form of a parabola. Here,  represents the vertex. The coefficient  affects the parabola's shape and direction (opens up if a > 0, down if a < 0).

Step - by - Step Solution

1. Match the given equation to the vertex - form

Given , compare it with .

We can see that  and , with .

2. Determine the vertex

Since in  the vertex is

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