Given equation :
3x2 = 8y
• x2 = \(\frac{8}{3}y\)
Comparing the given equation with parabola having an equation, x2 = 4ay
• 4a = \(\frac{8}{3}\)
• a = \(\frac{2}{3}\)
Focus : F(0,a) = F\(\Big(0,\frac{2}{3}\Big)\)
Vertex : A(0,0) = A(0,0)
Equation of the directrix : y + a = 0
• y + \(\frac{2}{3}\) = 0
• y = \(-\frac{2}{3}\)
Lenth of latusrectum :
4a = \(\frac{8}{3}\)