Characteristics of a parabola with horizontal axis of symmetry

The video tutorial explains the properties of parabolas, focusing on horizontal parabolas. It covers how to determine the vertex, axis of symmetry, focus, and directrix. The tutorial also explains the differences between vertical and horizontal parabolas, including how to calculate the focus and directrix. The concept of latus rectum is introduced, and the lesson concludes with a summary of key points.

What happens to the orientation of a parabola when the equation involves y^2 instead of x^2?

• It opens upwards or downwards.

• It opens to the right or left.

• It becomes a circle.

• It remains unchanged.

In a sideways parabola, what are the coordinates of the vertex?

• A, B

• 0, 0

• K, H

• H, K

For a sideways parabola, what is the equation of the axis of symmetry?

• y = H

• x = K

• y = K

• x = H

Where is the focus located in relation to a sideways parabola?

• On the directrix

• Inside the parabola

• Outside the parabola

• On the vertex

How do you calculate the position of the focus for a sideways parabola?

• Add 1/4A to K

• Subtract 1/4A from H

• Add 1/4A to H

• Subtract 1/4A from K

What is the role of the lattice rectum in a parabola?

• It determines the width of the parabola.

• It defines the length of the perpendicular line through the focus.

• It is the same as the directrix.

• It is the axis of symmetry.

What is the formula for the lattice rectum in terms of 'a'?

• 1/a

• 1/|a|

• a^2

• 4a