A parabola has its vertex at (2, 7) and opens downwards. If the parabola passes through the point (4, 3), what is the value of a in the vertex form ?
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to determine 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 .
Key Concept Explanation
The vertex form of a quadratic function allows us to easily find the value of if we know the vertex and another point on the parabola. By substituting the coordinates of the known point into the vertex form, we can solve for .
Step-by-step Solution
1. Identify the given information: The vertex is and the parabola passes through the point
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