What is the focus and directrix for a vertical parabola conics

The video tutorial explains how to find the focus and directrix of a parabola. It introduces a new equation format, X - H^2 = 4P(y - K), to determine these elements. The tutorial covers the significance of the vertex (H, K) and the role of P, which represents the distance from the vertex to the focus and directrix. It emphasizes that the focus and vertex lie on the axis of symmetry and provides steps to calculate the focus and directrix for vertical parabolas.

What is the purpose of introducing a new equation format for parabolas?

• To solve linear equations

• To determine the focus and directrix

• To graph cubic equations

• To find the roots of a polynomial

In the context of parabolas, what does the variable 'p' represent?

• The y-intercept of the parabola

• The x-coordinate of the vertex

• The distance from the vertex to the focus and directrix

• The slope of the parabola

How is the focus of a parabola related to its axis of symmetry?

• The focus is perpendicular to the axis of symmetry

• The focus is parallel to the axis of symmetry

• The focus is independent of the axis of symmetry

• The focus lies on the axis of symmetry

What happens to the value of 'p' when the parabola opens downwards?

• It becomes zero

• It doubles

• It remains positive

• It becomes negative

How is the directrix of a parabola represented?

• As a vertical line

• As a point

• As a curve

• As a horizontal line