Final answer:
The numbers that replace A and B in the table are 10 and 5 respectively.
Step-by-step explanation:
To complete the table of values for the equation y = 2x² + x + 4, you need to substitute the given values of x into the equation and solve for y.
For x = -2, substitute -2 into the equation:
y = 2(-2)² + (-2) + 4
= 2(4) - 2 + 4
= 8 - 2 + 4
= 10.
For x = -1, substitute -1 into the equation:
y = 2(-1)² + (-1) + 4
= 2(1) - 1 + 4
= 2 - 1 + 4
= 5.
So, the values that replace A and B in the table are A = 10 and B = 5.