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Find coordinates of focus ; equation of directrix ; length of latus rectum and ends of latus rectum

y2 = 12x

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Equation of parabola : y2 = 12x

On comparing with : y2 = 4ax , 4a = 12 , a = 3

Focus : S = (a,0) = (3,0) 

Equation of directrix : 

x + a = 0 

 x + 3 = 0 

Length of latus recturm = 4a = 12 units 

Ends of latus rectum : L = (a , 2a) = (3,6) 

L’ = (a,-2a) = (3,-6)

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