8. (20 pts) Let y = 6 2x 2 .

(a) Find the x-intercept(s) of the graph of the equation, if any exist. (show work)

(b) Find the y-intercept(s) of the graph of the equation, if any exist. (show work)

(d) Is the graph symmetric with respect to the y-axis? _____ (yes or no). If no, state a point on the graph and state the appropriate reflection point which fails to be on the graph, as done in section 1.2 homework in the textbook.

(e) Is the graph symmetric with respect to the x-axis? _____ (yes or no). If no, state a point on the graph and state the appropriate reflection point which fails to be on the graph, as done in section 1.2 homework in the textbook. (f) Is the graph symmetric with respect to the origin? _____ (yes or no).