How to find the find the focus and directrix from a sideways parabola with fractions

The video tutorial explains how to graph horizontal parabolas by identifying key components such as the vertex, focus, and directrix. It covers the calculation of the P value and its impact on the direction of the parabola. The tutorial emphasizes understanding the relationship between these elements and how they influence the graph's shape and orientation.

What is the significance of identifying the correct orientation of a parabola?

• It ensures the parabola is graphed correctly.

• It helps in determining the axis of symmetry.

• It changes the value of the focus.

• It affects the calculation of the vertex.

How do you determine the vertex of a parabola?

• By calculating the average of the x-coordinates.

• By using the formula and considering the opposite signs.

• By finding the midpoint of the focus and directrix.

• By identifying the highest or lowest point on the graph.

What does a negative value of P indicate about the direction of the parabola?

• The parabola opens to the right.

• The parabola opens to the left.

• The parabola opens upwards.

• The parabola opens downwards.

How is the position of the focus determined in relation to the vertex?

• It is always directly above the vertex.

• It is located at a distance 2P from the vertex.

• It is located at a distance P from the vertex.

• It is always directly below the vertex.

In which direction does a parabola open in relation to its focus?

• Away from the focus.

• Towards the focus.

• Parallel to the directrix.

• Perpendicular to the axis of symmetry.