Writing the equation of a parabola in standard form from conic sections

The video tutorial explains how to find the equation of a parabola by identifying its vertex and directrix. The teacher guides students through determining the direction of the parabola, calculating the focus and the value of P, and plugging these values into the parabola formula. The tutorial concludes with converting the equation into standard form, providing a comprehensive understanding of the process.

What formula is used for a parabola that opens left or right, and how is it derived?

How would you convert the equation of a parabola into standard form?