Answer
downward
Work Step by Step
The graph of the quadratic function $y=ax^2+bx+c$ is a parabola that opens up if $a\gt0$ or opens down if $a\lt0$.
In the given equation, $
y=-2x^2+x+6
,$ the value of $a$ is $a=
-2
.$ Hence, the parabola opens $\text{
downward
}.$