Find the foci, vertices and asymptotes of a hyperbola then graph

The video tutorial covers solving equations by dividing both sides, converting equations to standard form, and identifying the center. It explains how to calculate values of a, b, and c, find vertices, and determine the transverse axis. The tutorial also covers identifying foci, deriving asymptote equations, and sketching the graph using vertices and asymptotes.

What is the simplified form of the equation 16/80?

• 1/5

• 1/6

• 1/4

• 1/8

In the equation of a hyperbola, what does the center (h, k) represent?

• The point where the hyperbola crosses the x-axis

• The midpoint of the vertices

• The intersection of the asymptotes

• The starting point of the transverse axis

If a^2 is under the y-term in the equation of a hyperbola, what is the orientation of the transverse axis?

• Vertical

• Horizontal

• Circular

• Diagonal

How do you calculate the foci of a hyperbola?

• By adding and subtracting d from the center

• By adding and subtracting b from the center

• By adding and subtracting a from the center

• By adding and subtracting c from the center

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

• y = ± b/a (x - h) + k

• y = ± b/a (x + h) - k

• y = ± a/b (x - h) + k

• y = ± a/b (x + h) - k

What is the approximate value of sqrt(5) used for sketching the vertices?

• 1.5

• 3.0

• 2.2

• 2.5

What is the approximate value of sqrt(21) used for sketching the foci?

• 5.0

• 4.6

• 3.5

• 5.5