Considerthe quadratic function: g(x) = (x 3)2 + 4 a. What is the vertex ofg? b. Find the x-intercepts of g. . . . . . c. Find the v-intercept ofg. d. Graph the function 9. Be sure your graph includes units and shows all of the interesting features of the function. Considerthe polynomial function for) = (x + 1)2(x 2)2. Answer these questions regarding the function f. a. Describe the end behavior of the graph off in words. The graph off to the left and to the right. b. List each real zero off according to the behavior of the ' ' a ' ' ' ' graph at the x-axis near that zero ' ' ' ' ' ' .m Zerofs] where the graph crosses the x-axis: Zerols] where the graph touches, but does not cross the x- axis: c. Find the v-intercept of the graph of f: d. Sketch the graph of f(x) = (x + 1)2(x 2)2. Be sure to {i} plot and label all of the points where the graph of f intersects the x-axis or v-axis, [ii] for each point on the x-axis choose the correct behavior, {iii} sketch a smooth curve. I x+14 4 Solve for x, where x is a real number: = x+2 x24 xZ . . s . . . . . . . Solve the Inequality: % 5 i. Write the set of x values for which the Inequality Is true as a union of Intervals. Your work must include reasoning with a sign chart or number line