SOLUTION: Find the standard form of the equation of the parabola with a focus at (0, 2) and a directrix at y = -2. choices below y2 = 2x y = one divided by two x2 y2 = 8x

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Question 1135979: Find the standard form of the equation of the parabola with a focus at (0, 2) and a directrix at y = -2.
choices below
y2 = 2x

y = one divided by two x2

y2 = 8x

y = one divided by eight x2

Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!
given: a focus at (, ) and a directrix at

the vertex, exactly between the focus and directrix, must be at (, ) = (, )
the absolute value of is the distance between the vertex and the focus and the distance between the vertex and the directrix. (The sign on tells me which way the parabola faces.) Since the focus and directrix are units apart, then this distance has to be one unit, so
Since this is a "upward" parabola, then the part gets squared, rather than the part. So the conics form of the equation must be:







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