Algebra-2

Question Analysis
This problem challenges students to derive the equation of an absolute value function using the vertex and a point on the graph, requiring both recognition of the standard form and algebraic manipulation.

Key Concept Explanation
The standard form is essential, where is the vertex. Using a point on the graph helps solve for .

Step-by-step Solution
1. The vertex is , so the equation is .
2. Substitute the point into the equation:

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