Given the focus and directrix write the equation of a parabola

The video tutorial addresses a graphing problem, focusing on determining the equation of a parabola. The teacher guides students through identifying the focus, directrix, and vertex, and calculating the P value. The graph's direction is determined, and the equation is finalized using the known values of H, K, and P. The tutorial emphasizes understanding the relationship between the focus, directrix, and vertex to correctly plot and write the equation.

What is the first step in determining the direction of a graph?

• Writing the equation

• Identifying the directrix

• Plotting the information

• Calculating the vertex

Where is the vertex located in relation to the focus and directrix?

• At the focus

• At the directrix

• Halfway between the focus and directrix

• At the origin

What is the coordinate of the vertex as discussed in the video?

• (1, 2)

• (2, 3)

• (3, 2)

• (0, 0)

How is the distance P determined in the context of the graph?

• By measuring the distance from the vertex to the directrix

• By measuring the distance from the vertex to the focus

• By measuring the distance from the focus to the directrix

• By measuring the distance from the vertex to the origin

Which variable is squared in the final equation?

• H

• K

• Y

• X