Conic Sections Given the graph of a hyperbola write the equation

The video tutorial explains how to plot given information and determine the orientation of the transverse axis for a hyperbola. It covers the formula for hyperbolas, focusing on the horizontal orientation, and guides through finding the center, a, and c values. The tutorial also demonstrates calculating B squared and finalizing the hyperbola equation, ensuring students understand each step.

What is the first step when given information about a hyperbola?

• Determine the center

• Plot the information

• Calculate the foci

• Find the vertices

How do you determine if the transverse axis of a hyperbola is horizontal?

• By confirming if the line through the center, vertices, and foci is horizontal

• By calculating the distance between the foci

• By checking if the vertices are vertical

• By observing if the foci are aligned vertically

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

• (3, 3)

• (2, 2)

• (0, 0)

• (1, 1)

What is the relationship between 'a', 'b', and 'c' in a hyperbola?

• b^2 = a^2 + c^2

• c^2 = a^2 + b^2

• a^2 = b^2 + c^2

• c^2 = a^2 - b^2

What is the final equation of the hyperbola derived in the video?

• y^2/9 - x^2/16 = 1

• x^2/16 - y^2/9 = 1

• x^2/9 - y^2/16 = 1

• y^2/16 - x^2/9 = 1