Graph a simply hyperbola with center at the origin

The video tutorial explains how to identify and graph the key components of a hyperbola, including vertices, foci, and asymptotes. It begins with identifying the center and calculating parameters A, B, and C. The tutorial then demonstrates how to graph the hyperbola by locating vertices and foci, and understanding the transverse axis. Finally, it covers the method to graph asymptotes using a box method, providing a practical approach to sketching the hyperbola.

What is the center of the hyperbola discussed in the video?

• (0, 0)

• (3, 3)

• (2, 2)

• (1, 1)

Which value represents the distance from the center to the vertices?

• c

• d

• a

• b

How is the transverse axis oriented if a^2 is under the x variable?

• Diagonal

• Horizontal

• Vertical

• Circular

What are the coordinates of the vertices for the hyperbola?

• (0, -2) and (0, 2)

• (-3, 0) and (3, 0)

• (0, -3) and (0, 3)

• (-2, 0) and (2, 0)

What is the formula for the asymptotes of a hyperbola with a horizontal transverse axis?

• y = ± (b/a) * x

• y = ± (a/b) * x

• y = ± (c/a) * x

• y = ± (a/c) * x

How can you estimate the position of the co-vertices?

• By guessing

• By calculating the exact value of sqrt 5

• By knowing sqrt 4 and sqrt 9

• By using a calculator

What method is suggested for sketching the asymptotes?

• Creating a box with vertices and co-vertices

• Using a ruler

• Using graph paper

• Drawing freehand