A parabola has its vertex at (1, -2) and passes through the point (3, 6). The quadratic function in vertex form is . Find the value of a.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to find the value of the coefficient in the vertex form of a quadratic function given the vertex and another point on the parabola. The vertex form is provided, and the value of needs to be determined.
Key Concept Explanation
The vertex form of a quadratic function is . Given the vertex and another point on the parabola, the value of can be found by substituting the coordinates of the point into the vertex form and solving for .
Step-by-step Solution
1. Identify the vertex and the point .
2. Substitute the coordinates of the point
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