Graph a parabola using conic sections with a horizontal axis of symmetry

This video tutorial explains how to graph a parabola by identifying its vertex, focus, and directrix. It covers the process of determining the type of parabola by examining which variable is squared, and how to use the equation to find the vertex coordinates. The tutorial also explains how to calculate the focus using the value of P and how to identify the directrix by understanding its relationship with the focus and vertex.

What is the first step in identifying the type of parabola?

• Calculate the axis of symmetry

• Find the directrix

• Identify which variable is squared

• Determine the value of P

In the vertex formula, what does the variable H represent?

• The X-coordinate of the vertex

• The Y-coordinate of the vertex

• The axis of symmetry

• The distance to the focus

How can you determine the direction in which a parabola opens?

• By identifying the vertex

• By finding the value of P

• By checking which variable is squared

• By calculating the directrix

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

• The parabola opens towards the focus

• The focus is always below the vertex

• The parabola opens away from the focus

• The focus is always above the vertex

How is the directrix of a parabola related to the focus?

• It is always above the focus

• It is parallel to the axis of symmetry

• It is perpendicular to the axis of symmetry

• It is always below the focus