# How do you graph #x=2y-y^2#?

##### 1 Answer

If you have studied graphing parabolas, then you want to use the standard method for them.

Because the

(There's more than one way to proceed. I'll use one of them.)

Get the equation in standard form:

so

The vertex is at

The coefficient of the square term is negative, so the parabola opens in the negative direction. For a horizontal parabola, this means it opens to the left.

The axis of symmetry is the line

And if we start at the vertex

That's enough to sketch the graph:

graph{x=2y-y^2 [-4.933, 4.932, -2.466, 2.467]}