In which direction does the parabola x+8y2=2 open?

The parabola given by the equation x + 8y^2 = 2 is a vertical parabola.

Step 1: Rewrite the equation in standard form. The standard form of a parabola is either (x - h)^2 = 4p(y - k) for a vertical parabola or (y - k)^2 = 4p(x - h) for a horizontal parabola. Here, we can rewrite the equation as x = -8y^2 + 2.

Step 2: Identify the coefficient of the y^2 term. In this case, the coefficient is -8.

Step 3: Determine the direction of the parabola. If the coefficient of the y^2 term is positive, the parabola opens upwards. If it's negative, the parabola opens downwards. Here, since the coefficient is -8, the parabola opens downwards.