In the plane rectangular coordinate system, the locus of the moving point m (x, y) whose distance to the point F (0.1) is equal to the distance to the straight line L: y = - 1

In the plane rectangular coordinate system, the locus of the moving point m (x, y) whose distance to the point F (0.1) is equal to the distance to the straight line L: y = - 1

According to the definition of parabola, the trajectory of M is a parabola, the focus is f (0,1), and the Quasilinear is y = - 1, so p = 2
The standard equation of parabola is X & # 178; = 2PY = 4Y
That is to say, the trajectory equation of the moving point m (x, y) is X & # 178; = 4Y, which is a parabola with symmetry axis y, focus f (0,1) and opening upward