Learn how to find the focus and directrix of a parabola in conic sections

The video tutorial explains the properties of parabolas, focusing on finding the vertex, focus, and directrix. It begins with a discussion on the orientation of parabolas, followed by a detailed calculation of the focus using the formula 4P = 1/2. The tutorial emphasizes the importance of understanding the direction of positive values in vertical and horizontal contexts. Finally, it covers the concept of the directrix, explaining how to calculate its position relative to the vertex and focus.

What is the vertex of the parabola discussed in the video?

• (1, 1)

• (-1, -1)

• (0, 0)

• (0, -1)

How is the value of P calculated for finding the focus?

• By adding 1/2 to 4

• By multiplying 1/2 by 4

• By dividing 1/2 by 4

• By subtracting 1/2 from 4

What is the focus of the parabola?

• (-1, 1/8)

• (1, 7/8)

• (-1, 7/8)

• (0, 7/8)

What is the orientation of the directrix in the parabola?

• Vertical line

• Diagonal line

• Horizontal line

• Curved line

What is the equation of the directrix?

• y = 9/8

• y = 7/8

• y = 8/8

• y = 1/8