PLEASE LET ME KNOW IF THIS IS CORRECT AND GIVEN EXPLANATIONS THANK YOU!!

7. Let y = 8- 2x².

A. MAKE A table of sample points on the graph of the equation (include at least six points). The points should include the x-intercept(s) and the y-intercept(s) of the graph.

x	y	(x, y)
-2	0	(-2, 0)
-1	6	(-1, 6)
0	8	(0, 8)
1	6	(1, 6)
2	0	(2, 0)
3	-10	(3, -10)

(b) Graph the equation. The graph should include the sample points. (You may use the grid shown below, hand-draw and scan, or you may use the free Desmos graphing calculator described under Course Resource to generate a graph, save as a jpg and attach.)

(c) Is the graph symmetric with respect to the y-axis? __YES___ (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.

(d) Is the graph symmetric with respect to the origin? __YES___ (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.

The graph is symmetric with respect to the origin and the y-axis because it is the same on either side of both the origin and y-axis