Learn how to graph a parabola and identify the focus and directrix vertex at the center

The video tutorial explains how to write a parabola equation in horizontal form, identify the vertex, and calculate the focus. It also covers determining the directrix and understanding the graph's orientation. The instructor uses sketches and examples to clarify these concepts, emphasizing the importance of recognizing the parabola's direction and the relationship between the vertex, focus, and directrix.

What does the squared variable in a parabola's equation indicate?

• The height of the parabola

• The width of the parabola

• The direction the parabola opens

• The color of the parabola

How do you determine the vertex of a parabola from its equation?

• By looking at the coefficient of x

• By identifying the values of H and K

• By measuring the distance to the focus

• By calculating the slope

What is the significance of the parameter P in a parabola's equation?

• It indicates the color of the parabola

• It is the distance from the vertex to the focus

• It determines the width of the parabola

• It measures the height of the parabola

If a parabola opens to the right, what is the orientation of its directrix?

• Horizontal

• Diagonal

• Vertical

• Circular

In which direction does a parabola open if the focus is at (-2, 0)?

• To the right

• To the left

• Downwards

• Upwards