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:
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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