Question

What is the direction of the opening of the parabola `x^2=2y`?

Answer 1

The parabola is concave up.

Explanation:

`x^2 = 2y`

`y= 1/2x^2`

`y` is a parabola with vertex at `(0,0)`

Since the coefficient of `x^2 >0 -> y` is concave up.

As we can see from the graph below.

graph{(x^2-2y)=0 [-10, 10, -5, 5]}