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

The video tutorial explains a systematic 5-step process for creating equations, focusing on plotting points, determining the graph's opening, identifying the vertex, calculating the P value, understanding axis symmetry, and simplifying the equation. The tutorial emphasizes the importance of visualization and provides step-by-step guidance to help students understand the concepts.

What is the purpose of labeling points when plotting them on a graph?

• To make the graph symmetrical

• To confuse the viewer

• To help in identifying and understanding the points

• To make the graph look colorful

In which direction does a graph open in relation to the directrix?

• Towards the directrix

• Perpendicular to the directrix

• Away from the directrix

• Parallel to the directrix

What is the significance of the vertex in a parabola?

• It is the highest point on the graph

• It is the point where the graph changes direction

• It is the intersection of the x and y axes

• It is the midpoint of the directrix

How is the value of P determined in relation to the vertex and directrix?

• P is the product of the vertex and directrix

• P is the sum of the vertex and directrix

• P is the distance from the vertex to the directrix

• P is the distance from the vertex to the focus

What happens to the equation of the graph when P is negative?

• The graph becomes a circle

• The graph opens upwards

• The graph becomes a straight line

• The graph opens downwards