It is known that the distance from the moving point P to the point F (1,0) in the plane is smaller than the distance from the point P to the line x = - 2. Find the trajectory equation of the point P

It is known that the distance from the moving point P to the point F (1,0) in the plane is smaller than the distance from the point P to the line x = - 2. Find the trajectory equation of the point P

It is known that the distance from the moving point P to the point F (1,0) in the plane is less than the distance from the point P to the line x = - 2 by 1
Then the distance from P to point F (1,0) is equal to the distance from point P to line x = - 1. According to the definition of parabola, the trajectory of point P is parabola
P = 1 focus (1,0) equation y ^ 2 = 4x