3 years ago

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

1 answer:

6 0

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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