Graph a horizontal parabola and identify the focus, vertex and directrix

The video tutorial explains how to graph a parabola by identifying its vertex, focus, and directrix. It covers determining the parabola's orientation based on its equation and completing the square to rewrite the equation in a useful form. The tutorial also demonstrates how to find the vertex and focus coordinates and graph the parabola, including identifying the directrix and axis of symmetry.

What are the key features to identify when graphing a parabola?

• Focus, center, and diameter

• Vertex, focus, and directrix

• Vertex, center, and radius

• Directrix, center, and circumference

How can you determine the direction a parabola opens?

• By the position of the vertex

• By the position of the focus relative to the vertex

• By the length of the directrix

• By the size of the axis of symmetry

What is the purpose of completing the square in the context of parabolas?

• To find the length of the directrix

• To determine the axis of symmetry

• To rewrite the equation to reveal the vertex and focus

• To calculate the area of the parabola

What is the formula used to rewrite the equation of a parabola?

• Y^2 = 4P(X^2 - H)

• Y - K = 4P(X^2 - H)

• Y^2 = 4P(X - H)

• Y - K^2 = 4P(X - H)

What is the axis of symmetry for a parabola with a horizontal opening?

• A horizontal line through the focus

• The Y-axis

• The X-axis

• A vertical line through the vertex

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

• It is a line perpendicular to the axis of symmetry

• It is a point directly opposite the focus

• It is a point equidistant from the vertex

• It is a line parallel to the axis of symmetry

Where is the focus located in relation to the vertex for a parabola that opens to the right?

• Directly below the vertex

• To the right of the vertex

• Directly above the vertex

• To the left of the vertex