Find the coordinates of the focus axis of the parabola the equation of directrix and the length of the latus rectum for y2=−8x
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The given equation is y2=−8x Here the coefficient of x is negative. Hence the parabola opens towards the left. On comparing this equation with y2=−4ax −4a=−8 ⇒a=2 ∴ Coordinates of the focus =(−a,0)=(−2,0) Axis of the parabola is the x-axis i.e.y=0 Equation of directrix x=a i.e.,x=2 Length of latus rectum =4a=8