Answer:

Given,

Equation of directrix,

x = -4

x + 4 = 0

The equation is of the form, x + a = 0

Focus of the parabola F(4,0) is of the form F(a,0)

a = 4

For directrix with equation x+a=0 and focus (a,0),

The equation of the parabola is,

y² = 4ax

y² = 16x