Find the focus, directrix and vertex of a parabola in conic sections

The video tutorial explains how to identify the vertex, focus, and directrix of a parabola. It begins with determining the vertex using the formula y - K, where K is the y-coordinate of the vertex. The focus is found by solving for P in the equation 4P = 1/2, resulting in a focus point of (1/8, 2). Finally, the directrix is identified as a vertical line at X = -1/8. The tutorial emphasizes common mistakes and provides tips for correctly plotting these points.

What is the vertex of the parabola given the formula y - K?

• (0, -2)

• (0, 2)

• (2, 0)

• (-2, 0)

How is the value of P determined when finding the focus of a parabola?

• By adding 4 to 1/2

• By subtracting 4 from 1/2

• By multiplying 4 by 1/2

• By dividing 1/2 by 4

What is the focus point of the parabola?

• (2, -1/8)

• (2, 1/8)

• (-1/8, 2)

• (1/8, 2)

Where is the directrix of the parabola located?

• x = 1/8

• y = 1/8

• x = -1/8

• y = -1/8

What is the orientation of the directrix line?

• Horizontal

• Vertical

• Circular

• Diagonal