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What is the equation of the parabola with a vertex at the origin and a directrix of #y=1/4#?

Answer 1

The equation of parabola is #y= -x^2#

Equation of the Parabola in Vertex form is #y=a(x-h)^2+k# Here Vertex is at origin so h=0 and k=0 #:. y = a*x^2#The distance between vertex and directrix is #1/4# so #a=1/(4*d)=1/(4*1/4) =1#Here Parabola opens down. So #a=-1# Hence the equation of parabola is #y= -x^2# graph{-x^2 [-10, 10, -5, 5]}[Answer]

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Answer 2

Eva Abramson

The equation of the parabola with a vertex at the origin and a directrix of y = 1/4 is:

[y = \frac{1}{8}x^2]

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.