Find the equation of the parabola with focus F(4, 0) and directrix x = -4.

Question

Philoid · Accepted Answer

Given equation of directrix : x = -4

• x + 4 = 0

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

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

Therefore, a = 4

For directrix with equation x+a=0 and focus (a,0), equation of the parabola is,

y² = 4ax

• y² = 16x