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

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Answer 1 · 2018-03-03T06:01:30

The parabola is concave up.

$x^2 = 2y$

$y= 1/2x^2$

$y$ 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]}

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