Given equation :
3y2 = 8x
• y2 = \(\frac{8}{3}x\)
Comparing the given equation with parabola having equation, y2 = 4ax
4a = \(\frac{8}{3}\)
• a = \(\frac{2}{3}\)
Focus :F(a,0) = F\(\Big(\frac{2}{3},0\Big)\)
Vertex : A(0,0) = A(0,0)
Equation of the directrix : x + a = 0
• x + \(\frac{2}{3}\) = 0
• x = \(-\frac{2}{3}\)
Lenth of latusrectum : 4a = \(\frac{8}{3}\)