Answer: y² = 8x
Step-by-step explanation:
The set of points which are equidistant from one point and from a line is a parabola.
In this particular case we have directrix line × = -2 so that means focus must be on the x-axis and with coordenates f (2,0) and p = 2 (the distance between the vertex and the focus with that information we can get the equation
vertex ( 0, 0) p = 2 the parabola open to the left so is of the form
y² =- 4*p*× ⇒ y² = 8x
