A parabola has its vertex at (5, -3) and opens upwards. If it passes through the point (3, 1), find the value of a in the vertex form . The value of a is ______.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to use the given vertex and a point on the parabola to find the coefficient in the vertex form of the quadratic function.
Key Concept Explanation
The vertex form of a quadratic function is . Given the vertex and a point on the parabola, the value of can be found by substituting the point into the equation and solving for .
Step-by-step Solution
1. Identify the vertex:
2. Write the vertex form:
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