Given that the vertex of an absolute value function's graph is and it passes through the point , find the function expression. The function can be written as y =__________.
Answer & Analysis
Analysis
Question Analysis
This question requires students to determine the function expression of an absolute value function given its vertex and another point on the graph. The vertex form of the function is used, and the unknown parameter is found by substituting the given point.
Key Concept Explanation
The vertex form of an absolute value function is .
The vertex is given, and the value of can be determined by substituting the coordinates of another point on the graph.
Step-by-step Solution
1. Write the vertex form of the function: .
2. Substitute the point into the equation:
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