Write the equation for a parabola with focus (0,-5/3) and directrix y=5/3.

Mathematics · Middle School · Tue Nov 03 2020

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the equation for a parabola with focus (0,-5/3) and directrix y=5/3.

The equation of parabola can be 

x^2=4ay or x^2= - 4ay and the focus will be 

(0, -a-). Focus has a negative y coordinate 

Given focus (0,-5/3) so a=5/3

Then the equation will be  x^2= - 4(5/3)y 

x^2= - (20/3)y  answer.