Hi fabxx

If you're familiar with the basic parabola equation we typically use y = x^2

this shouldn't be that hard,

The parabola on its side is the same shape but uses the basic equation

x = y^2, when using this equation there are several ways to manipulate the shape of the graph, from what you described we take the basic 'side' parabola x = y^2 (which we know is positive coz it opens in the positive x direction)

To obtain a vertex of (-2,0) the parabola has simply been translated 2 points to the left, to change the equation we subtract 2 ie x = y^2 - 2

-2 = 0^2 - 2 stands true and you can test that for other points on the curve

Hope that helps