Writing the equation of parabola with the focus and vertex

The video tutorial covers plotting and labeling graphs, focusing on parabolas. It explains how to determine the direction a parabola opens based on its focus and how to choose the correct formula for vertical or horizontal parabolas. The tutorial also discusses the significance of the vertex and its relationship with the focus, emphasizing the distance between them.

Why is it important to label plots when working with parabolas?

• To use more colors

• To avoid forgetting important details

• To make the plot look neat

• To impress the teacher

What should you check in your drawing to understand the parabola's orientation?

• The thickness of the lines

• The color of the parabola

• The direction it opens in relation to the focus

• The size of the parabola

Which formula is used for a vertical parabola?

• x - h = 2p(y - k)^2

• y - k = 4p(x - h)^2

• x - h = 4p(y - k)^2

• y - k = 2p(x - h)^2

What do the variables H and K represent in the parabola formula?

• The axis of symmetry

• The vertex of the parabola

• The endpoints of the parabola

• The focus of the parabola

What does the variable P represent in the context of a parabola?

• The distance from the vertex to the focus

• The height of the parabola

• The width of the parabola

• The distance from the vertex to the directrix