Consider the quadratic function below and (a) find the vertex; (b) find the axis of symmetry; (c) determine whether there is a maximum or a minimum value, and find that value; and (d) graph the function. Ay 10- f(x) =x - 8x + 12 6- (a) The vertex occurs at (Type an ordered pair, using integers or fractions.) (b) Find an equation for the axis of symmetry. 10 10 (Type an equation. Use integers or fractions for any numbers in the equation.) -2 (c) Determine whether the parabola has a maximum or a minimum and find its value. 14 Select the correct choice below and fill in the answer box within your choice. (Type an integer or a fraction.) -8 O A. The parabola opens downward and has a maximum value of O B. The parabola opens upward and has a minimum value of Click the graph, choose a tool in the palette and follow the instructions to create your graph.

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Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.