PrincessKeliah3072 PrincessKeliah3072
  • 22-10-2019
  • Mathematics
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Find the equation of the set of points which are equidistant from (0,2) and the x-axis. Sketch this set of points.

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jtellezd jtellezd
  • 25-10-2019

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

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