Answer:
Given that,
To find the direction does -3x^2 + 18x -24 open.
The equation is,

Step-by-step explanation:
From the definition of parabola we get that,

Here, (h,k) is the vertex.
negative sign indicating that the parabola is open down,
x^2 coefficient is in negative. Given parabola is open downward.
Answer is: down.