Question

Find the equation of the set of points which are equidistant from (0,2) and the x-axis. Sketch this set of points.

Answer 1

Answer:   x² = 4y -8

Step-by-step explanation: The equation of the set of points which are equidistant from a point and from a line is a parabola. In this case:

F ( 0 , 2 )  The parabola open upwards, so is of the form

p = 1

( x - h )²  = 4*p* ( y - 2)

x² =  4 * ( y - 2 )

x² = 4y -8