Question

Select the correct option from the given alternatives:

Equation of the parabola with vertex at the origin and directrix x + 8 = 0 is __________

Options

• y² = 8x

• y² = 32x

• y² = 16x

• x² = 32y

Answer 1

y² = 32x

Explanation:

Since directrix is parallel to Y-axis,
X-axis is the axis of the parabola.
Let the equation of parabola be y² = 4ax.
Equation of directrix is x + 8 = 0
∴ a = 8
∴ required equation of parabola is y² = 32x