Chapter 9 - Quadratic Functions and Equations - 9-1 Quadratic Graphs and Their Properties - Practice and Problem-Solving Exercises - Page 538: 28

The parabola would open downwards and the arrows will go down starting from the vertex.

The parabola would open downwards. The arrows will go down starting from the vertex. Given the equation $y= -2x^{2} + 1$ We see that a value (value in front of $x^{2}$) is -2 and the negative shows that the parabola is reflected over the x- axis and it will open downwards.