## Problem 6: **Using the Quadratic function with the given vertex and extra data point.** ### Graph Details: - The graph shows a parabola representing the function \( y = f(x) \). - The vertex of the parabola is located at \((-3, 9)\). - Another specified point on the parabola is \((6, -9)\). - The graph is symmetrical about a vertical line, which passes through the vertex. ### Questions: **(a)** What is the axis of symmetry? **(b)** Find a model for the quadratic function in vertex form: \( f(x) = a(x - h)^2 + k \) (you will need to find \( a \) using the extra data point). **(c)** Based on your quadratic function, find \( x \) where \( f(x) = -5 \). (Show this algebraically and state results to two decimal places).

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