Write the equation of a parabola given vertex and directrix

The video tutorial explains the process of plotting information on an X&Y axis to understand equations better. It emphasizes the importance of graphing and labeling key points like the vertex and directrix. The tutorial guides viewers on determining the graph's orientation based on the directrix and vertex, ensuring it opens correctly. It also covers calculating the distance between the vertex and directrix to find the focus and choosing the correct equation based on whether the graph opens up, down, left, or right.

Why is it important to label the vertex and directrix when plotting a graph?

• To make the graph look more colorful

• To avoid confusion and identify key points

• To make the graph easier to erase

• To ensure the graph is symmetrical

What is the role of the directrix in determining the direction a graph opens?

• It has no role in the graph's orientation

• It influences the graph to open away from it

• It helps in deciding the graph's width

• It determines the color of the graph

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

• By finding the midpoint between the vertex and focus

• By measuring the distance from the vertex to the directrix

• By calculating the area under the graph

• By counting the number of points on the graph

Which variable is squared in the equation for a graph that opens up or down?

• Neither X nor Y

• Both X and Y

• X

• Y

What is the final equation for the graph if H is -1 and P is 2?

• X + 1 = 4 * 2 * (Y - 3)

• X - 1 ^2 = 4 * 2 * (Y + 3)

• Y + 1 ^2 = 4 * 2 * (X - 3)

• X + 1 ^2 = 4 * 2 * (Y - 3)