Final answer:
The minimum value of the parabola y = x^2 + 5x is -25/4.
Step-by-step explanation:
The minimum value of the parabola y = x^2 + 5x can be found by completing the square.
Rewrite the equation as y = (x^2 + 5x + 25/4) - 25/4, which is equivalent to y = (x + 5/2)^2 - 25/4.
Since the square of a real number is always non-negative, the minimum value of the parabola is -25/4.