Graph a parabola with a vertical axis of symmetry and identify the focus & directrix

The video tutorial explains how to graph a parabola and identify its key components: the vertex, focus, and directrix. It begins by discussing the orientation of the parabola based on the squared variable, then moves on to identifying the vertex using the general form. The tutorial continues with calculating the focus and directrix by determining the value of P, and concludes by finalizing the graph with these details.

What determines the direction in which a parabola opens?

• The squared variable in the equation

• The coefficient of the linear term

• The value of the vertex

• The constant term in the equation

How is the vertex of a parabola identified from its equation?

• By setting the derivative to zero

• By finding the midpoint of the focus and directrix

• By using the opposite values of H and K in the equation

• By calculating the average of the x-coordinates

What role does the value of 'P' play in graphing a parabola?

• It determines the width of the parabola

• It indicates the direction the parabola opens

• It defines the axis of symmetry

• It specifies the y-intercept

How is the focus of a parabola determined?

• By using the formula y = mx + b

• By calculating the intersection of the axis of symmetry

• By moving a distance 'P' from the vertex

• By finding the midpoint between the vertex and directrix

What is the directrix of a parabola?

• A line perpendicular to the axis of symmetry

• A line parallel to the axis of symmetry

• The x-intercept of the parabola

• A point on the parabola