When given the vertex and focus graph the parabola conic sections

The video tutorial guides students through solving a problem involving parabolas. It begins with plotting information and understanding the relationship between the vertex and focus. The tutorial explains how the parabola opens towards the focus and introduces the horizontal formula for parabolas. It covers calculating the distance and direction from the vertex to the directrix and concludes with simplifying the equation.

What is the relationship between the vertex and the focus of a parabola?

How does the direction in which a parabola opens relate to its focus?

What formula is used to represent a horizontal parabola?

How do you determine the distance 'P' from the vertex to the directrix?

What steps should you follow to simplify the equation of a parabola?