how to graph and identify the foci, asymptotes, center, vertices of a hyperbola

The video tutorial covers graphing techniques, focusing on identifying the center, calculating A, B, and C values, and determining the transverse axis. It explains plotting the graph with vertices and foci, and graphing asymptotes by creating a box. The tutorial also derives the equation of asymptotes for different centers, providing a comprehensive understanding of graphing hyperbolas and ellipses.

What is the center of a graph if H is 3 and K is 1?

• (-1, -3)

• (1, 3)

• (3, -1)

• (-3, 1)

How do you determine if the transverse axis is horizontal?

• If X is over A

• If Y is over A

• If A is over B

• If B is over A

What is the value of A if A^2 is 16?

• 2

• 4

• 8

• 16

Where do the vertices lie in relation to the transverse axis?

• Above and below

• Left and right

• On the diagonal

• At the center

What is the approximate value of 2√5?

• 5.0

• 4.6

• 4.5

• 3.5

How do you graph asymptotes when the center is at (H, K)?

• Use the equation y = ± a/b * (x + H) - K

• Use the equation y = ± b/a * (x + H) - K

• Use the equation y = ± a/b * (x - H) + K

• Use the equation y = ± b/a * (x - H) + K

What is the slope of the asymptote if b = 2 and a = 4?

• 1/4

• 4/1

• 1/2

• 2/1