Question

complete a table for the rule y = x^2+2. then plot and connect the points on a graph. be sure to label the axes and include the scale. use negative and positive values for x, as well as a value of 0.

Explanation:

Step1: Create a table of values

x	y = x² + 2
-1	(-1)²+2 = 1+2 = 3
0	0²+2 = 2
1	1²+2 = 3
2	2²+2 = 6

Step2: Plot the points

Plot the points (-2,6), (-1,3), (0,2), (1,3), (2,6) on a coordinate - plane.

Step3: Connect the points

Draw a smooth curve through the plotted points. Label the x - axis and y - axis. Choose an appropriate scale for the axes (for example, the x - axis can range from - 3 to 3 with an increment of 1, and the y - axis can range from 0 to 10 with an increment of 1).

Answer:

The table of values is shown above, and the graph is a parabola opening upwards with vertex at (0,2) after plotting and connecting the points as described.