Given the vertices and foci write the standard form of a hyperbola

The video tutorial explains the concept of hyperbolas, focusing on identifying vertices and foci, deriving the standard form of a hyperbola, and calculating the B value in the equation. The tutorial concludes with the final hyperbola equation and a brief summary.

What is the orientation of the transverse axis in the hyperbola discussed?

• Diagonal

• None of the above

• Vertical

• Horizontal

What are the coordinates of the center of the hyperbola?

• (2, 2)

• (0, 2)

• (2, 0)

• (0, 0)

In the standard form of a hyperbola, what does the parameter 'A' represent?

• Distance between the center and the foci

• Distance between the center and a vertex

• Distance between the vertices

• Distance between the foci

Which equation represents the relationship between A, B, and C in a hyperbola?

• C^2 = A^2 - B^2

• A^2 = B^2 + C^2

• B^2 = A^2 - C^2

• C^2 = A^2 + B^2

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

• x^2 / 4 - y^2 / 12 = 1

• y^2 / 4 - x^2 / 12 = 1

• x^2 / 12 - y^2 / 4 = 1

• y^2 / 12 - x^2 / 4 = 1