Find the equation of a hyperbola with foci and vertices

The video tutorial explains how to identify the vertices and foci of a graph, determine the transverse axis, and find the center using the midpoint formula. It then guides through calculating the values of A and C, setting up the equation, and solving for B. The tutorial concludes with finalizing and verifying the equation.

What is the orientation of the transverse axis based on the given vertices and foci?

• Undefined

• Diagonal

• Horizontal

• Vertical

How is the center of the shape determined?

• By measuring the distance between foci

• By finding the intersection of the axes

• By averaging the x-coordinates of the vertices

• By using the midpoint formula

What is the value of 'a' in this context?

• 4

• 3

• 2

• 1

What is the relationship between a^2, b^2, and c^2?

• a^2 = b^2 - c^2

• a^2 + b^2 = c^2

• a^2 - b^2 = c^2

• a^2 = b^2 + c^2

What is the calculated value of b^2?

• 9

• 16

• 4

• 7