How to write the equation of the parabola given the vertex and vertical directrix

The video tutorial explains how to write the standard form of a parabola equation given a vertex and directrix. It covers identifying the axis of symmetry, determining the parabola's orientation, calculating the value of P, and simplifying the equation. The tutorial concludes with solving for X and presenting the final equation form.

What is the relationship between the directrix and the axis of symmetry in a parabola?

• They are perpendicular to each other.

• They are parallel to each other.

• They intersect at the vertex.

• They are the same line.

If a parabola has a horizontal axis of symmetry, in which direction can it open?

• Only downwards

• Only upwards

• Upwards or downwards

• Left or right

In the standard form equation of a parabola, what does 'P' represent?

• The distance from the focus to the directrix

• The distance from the directrix to the axis of symmetry

• The distance from the vertex to the focus

• The distance from the vertex to the directrix

What is the first step in solving for 'X' in the parabola's equation?

• Subtract the focus coordinates

• Multiply by the directrix

• Add the vertex coordinates

• Apply the distributive property

What is the importance of solving for 'X' in the standard form of a parabola's equation?

• It identifies the axis of symmetry.

• It determines the direction of the parabola.

• It helps in finding the vertex.

• It allows the equation to be used in different forms.