Algebra-2

Question Analysis
This question assesses the ability to formulate an absolute value function equation when the vertex and the direction of opening are provided. It requires understanding how the sign of affects the direction of the graph.

Key Concept Explanation
In the standard form , the vertex is and the sign of determines the direction of opening. A negative means the graph opens downward.

Step-by-step Solution
1. Identify the vertex:
2. Determine the value of : Since the graph opens downward and there is no stretch or compression, .
3. Substitute ,