Learn how to graph a horizontal parabola and identify the directrix and focus

The video tutorial explains how to graph a parabola with a squared y-term. It covers identifying the vertex, determining the direction the parabola opens based on the value of P, and calculating the focus and directrix. The tutorial also discusses the axis of symmetry and concludes with a summary of the graphing process.

What is the vertex of the parabola given by the equation y^2 = -2x?

• (1, 0)

• (1, 1)

• (0, 0)

• (0, 1)

If the value of P is negative, in which direction does the parabola open?

• Upwards

• Downwards

• To the right

• To the left

How do you calculate the value of P in the equation y^2 = 4Px?

• P = -4/2

• P = 4

• P = -2/4

• P = 2

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

• The directrix is parallel to the axis of symmetry.

• The vertex is closer to the directrix than the focus.

• The focus is twice as far from the vertex as the directrix.

• The vertex is equidistant from the focus and the directrix.

What is the equation of the directrix for the parabola with vertex (1, 0) and focus (-1/2, 0)?

• x = 0

• x = 3/2

• x = -1/2

• x = 1