Learn to graph a vertical parabola and identify the focus and directrix

The video tutorial explains how to graph a parabola by identifying its vertex, focus, and directrix. It starts with the equation of a parabola, showing how to determine the vertex and whether the parabola opens upwards or downwards. The tutorial also covers how to find the focus and directrix, emphasizing the relationship between these elements and the vertex.

What is the vertex of the parabola given by the equation X - 2^2 = 8 * y - 1?

• (-2, -1)

• (0, 0)

• (1, 2)

• (2, 1)

How can you determine if a parabola opens upwards or downwards?

• By looking at the coefficient of x

• By finding the y-intercept

• By analyzing the sign of 'P' in the equation

• By checking if the vertex is at the origin

If the focus of a parabola is above the vertex, in which direction does the parabola open?

• Downwards

• It doesn't open

• Upwards

• Sideways

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

• The vertex is equidistant from the focus and directrix

• The focus is always below the directrix

• The vertex is always at the origin

• The directrix is a point, not a line

What is the equation of the directrix for the parabola with vertex (2, 1) and focus (2, 3)?

• x = -2

• x = 2

• y = -1

• y = 1