1. Let f(x) =- 2x2-8x-6 a. Determine whether the graph opens upward or downward. b. Find the vertex algebraically. Show all work. Is it a maximum or a minimum? c. Determine the equation of the axis of symmetry. d. Find the y-intercept algebraically. e. Find the x-intercept(s) algebraically (if any exist). Show all work. f. Sketch the graph of the function. 4 y 10 4- 3. -1 -10-9 -8-7 -6.-5. -3.-2.--1 1 2 3_45 6 7 8 9 10 -2- -3 -4 -5- -6 -7- -8- -61 -10 g. Domain: h. Range:

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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.