Final answer:
The vertex of the parabola y = 5x^2 - 20x + 135 is (2, 115).
Step-by-step explanation:
To determine the vertex of the parabola y = 5x^2 - 20x + 135, we can use the formula x = -b/(2a), where a is the coefficient of x^2 and b is the coefficient of x. In this case, a = 5 and b = -20.
Plugging these values into the formula, we get:
x = -(-20)/(2*5) = 20/10 = 2.
The vertex of the parabola is therefore (2, y). To find the value of y at the vertex, we can substitute x = 2 into the equation:
y = 5(2)^2 - 20(2) + 135 = 5(4) - 40 + 135 = 20 - 40 + 135 = 115.
So, the vertex of the parabola is (2, 115).