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

Mar 3, 2018

The parabola is concave up.

#### Explanation:

${x}^{2} = 2 y$

$y = \frac{1}{2} {x}^{2}$

$y$ is a parabola with vertex at $\left(0 , 0\right)$

Since the coefficient of ${x}^{2} > 0 \to y$ is concave up.

As we can see from the graph below.

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