How to determine the focus, directrix and vertex conic sections

The video tutorial explains how to analyze the equation y^2 = 3X by determining its graph orientation, rewriting it in standard form, and identifying key components such as the vertex, focus, and directrix. The instructor guides through calculating the P value and graphing the equation, ensuring students understand the relationship between the equation's components and its graphical representation.

What are the coordinates of the focus and the equation of the directrix for the parabola described?

What steps would you take to sketch the graph of the parabola based on the information provided?

How does the value of 'P' affect the distance from the vertex to the focus?