e. State the direction of the parabola. f. Decide whether there is a relative maximum or minimum, then state it. g. Graph the function accurately using the above information. ex 2. For g(x) 3x2- 12x + 6, answer the following questions. a. Find the values of the x-intercepts. b. State the coordinates of the y-intercept. c. State the vertex. d. State the axis of symmetry. e. State the direction of the parabola. f. Decide whether there is a relative maximum or minimum, then state it g. Graph the function accurately using the above information. h. State the domain. i. State the range. j. State the interval of x where the graph is increasing. k. State the interval of x where the graph is decreasing.

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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.