Find the coordinates of the focus and the vertex, the equations of the directrix and the axis, and length of the latus rectum of the parabola :
x2 = 16y
Given equation : x2 = 16y
Comparing given equation with parabola having equation,
x2 = 4ay
4a = 16
• a = 4
Focus : F(0,a) = F(0,4)
Vertex : A(0,0) = A(0,0)
Equation of the directrix : y+a=0
• y + 4=0
• y = -4
Lenth of latusrectum : 4a = 16