How to determine the parts of a hyperbola and then sketch the graph

The video tutorial explains how to identify and sketch hyperbolas by calculating key values such as a, b, and c. It covers finding the center, vertices, foci, and asymptotes, and demonstrates how to use these elements to draw a hyperbola. The tutorial also provides equations for asymptotes and emphasizes the importance of understanding these concepts for quick problem-solving.

What is the value of 'a' if a^2 equals 4?

• 2

• 1

• 4

• 3

Where is the center of the hyperbola located?

• (1, 1)

• (-1, -1)

• (0, 0)

• (2, 2)

What is the orientation of the transverse axis if a^2 is under y?

• None

• Diagonal

• Vertical

• Horizontal

How do you find the vertices of a hyperbola?

• By adding and subtracting 'a' from the x-coordinate

• By adding and subtracting 'a' from the y-coordinate

• By adding and subtracting 'b' from the x-coordinate

• By adding and subtracting 'b' from the y-coordinate

What is the approximate value of sqrt(29)?

• 7.5

• 4.5

• 6.5

• 5.5

Why is 'b' important in sketching a hyperbola?

• It is not important

• It defines the vertices

• It helps in sketching asymptotes

• It determines the center

What is the equation for the asymptotes of a hyperbola with a vertical transverse axis?

• x = ± (a/b) * y

• y = ± (a/b) * x

• y = ± (b/a) * x

• x = ± (b/a) * y