Final answer:
The x-coordinate of the vertex of the quadratic function y = x² + 5x + 6 is found using the formula x = -b/(2a), which gives us -2.5.
Step-by-step explanation:
To find the x-coordinate of the vertex of the quadratic function y = x² + 5x + 6, we need to use the vertex formula x = -b/(2a), where a is the coefficient of x² and b is the coefficient of x. In our function, a = 1 and b = 5. By applying the formula, we get:
x = -5/(2*1) = -5/2 = -2.5
So, the x-coordinate of the vertex of the given quadratic function is -2.5.