How to graph and determine the directrix focus and vertex

The video tutorial explains how to identify and graph the vertex, focus, and directrix of a parabola using vertex form. It covers the calculation of the focus and directrix, and provides guidance on plotting these points on a graph. The tutorial emphasizes understanding over memorization of formulas and concludes with a brief Q&A session.

What is the vertex of a parabola given in the form (x - h)^2 = 4p(y - k)?

• The vertex is (h, k).

• The vertex is (p, k).

• The vertex is (0, 0).

• The vertex is (h, p).

How do you determine if the focus of a parabola is above or below the vertex?

• By checking if P is positive or negative.

• By checking the value of h.

• By checking the value of k.

• By checking if the parabola opens left or right.

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

• The focus is always to the right of the vertex.

• The focus is always to the left of the vertex.

• The focus is a distance P above or below the vertex.

• The focus is at the same point as the vertex.

What is the directrix of a parabola?

• A line that intersects the focus.

• A point directly above the vertex.

• A horizontal line opposite the focus.

• A vertical line passing through the vertex.

Why is it preferred to use improper fractions when plotting points?

• They are easier to calculate.

• They are more accurate for plotting.

• They are simpler to convert to decimals.

• They are preferred for memorization.