Explanation:
To evaluate y when x = 2 in the equation y = -1/2x² + 6x + 5, we simply substitute x = 2 into the equation and solve for y:
y = -1/2(2)² + 6(2) + 5
y = -1/2(4) + 12 + 5
y = -2 + 12 + 5
y = 15
Therefore, when x = 2, y = 15 in the equation y = -1/2x² + 6x + 5.