Answer:
Explanation:
To complete the table of values for the given equation y = 2x² + x, we substitute the given x-values into the equation and calculate the corresponding y-values.
Given x = -2:
y = 2(-2)² + (-2)
y = 2(4) - 2
y = 8 - 2
y = 6
Given x = -1:
y = 2(-1)² + (-1)
y = 2(1) - 1
y = 2 - 1
y = 1
Given x = 1:
y = 2(1)² + (1)
y = 2(1) + 1
y = 2 + 1
y = 3
Given x = 3:
y = 2(3)² + (3)
y = 2(9) + 3
y = 18 + 3
y = 21
The completed table of values is as follows:
X | y
-2 | 6
-1 | 1
1 | 3
3 | 21
For each given x-value, we substituted it into the equation and performed the necessary calculations to find the corresponding y-value. The resulting values were then recorded in the table.
Please note that the table can be extended to include more x-values if desired, by following the same process of substituting each x-value into the equation and calculating the corresponding y-value.