Writing the equation of a hyperbola given the length of transverse and focal axis

The video tutorial explains the concept of a vertical transverse axis and how to plot the center of an equation. It covers the calculations for transverse and focal axes, including solving for A, B, and C using given equations. The tutorial also addresses simplifying fractions and deriving the final equation, emphasizing the importance of understanding mathematical operations and simplification techniques.

What does the presence of a vertical transverse axis imply about the equation structure?

• B squared is under the X term

• B squared is under the Y term

• A squared is under the Y term

• A squared is under the X term

If the transverse axis is 7, what is the value of A?

• 3.5

• 3

• 7

• 14

How is the focal axis related to the variable C?

• 2C equals the focal axis

• C equals the focal axis

• 2C squared equals the focal axis

• C squared equals the focal axis

What is the result of simplifying 49/4 + B^2 = 81/4?

• B^2 = 16/4

• B^2 = 32/4

• B^2 = 49/4

• B^2 = 81/4

What is the final form of the equation after simplification?

• y - 1^2 / 49 - x - 1^2 / 8 = 1

• y - 1^2 / 8 - x - 1^2 / 49 = 1

• x - 1^2 / 49 - y - 1^2 / 8 = 1

• x - 1^2 / 8 - y - 1^2 / 49 = 1