Write the equation of a hyperbola given vertices and point

The video tutorial explains how to plot points and vertices for a hyperbola, understand the transverse axis, and determine the center. It covers setting up the equation with a^2 under y, solving for b^2 using given points, and simplifying the equation. The tutorial emphasizes understanding the relationship between the center, vertices, and the transverse axis, and provides guidance on handling fractions in equations.

What is the first step in plotting a hyperbola?

• Calculate the distance 'a'

• Identify the center

• Plot the vertices

• Determine the transverse axis

How is the center of a hyperbola determined?

• By calculating the distance 'a'

• By finding the midpoint of the vertices

• By plotting the points

• By identifying the transverse axis

What does 'a' represent in the hyperbola equation?

• The length of the transverse axis

• The midpoint of the vertices

• The distance from the center to the vertices

• The distance from the center to the foci

Which point is used to solve for 'b^2' in the hyperbola equation?

• (2, 0)

• (1, 2)

• (0, 5)

• (3, 0)

What is the result of solving for 'b^2' in the given example?

• 25/9

• 16/9

• 9/4

• 36/16

What is the purpose of rewriting the equation with a common denominator?

• To plot the vertices

• To simplify the equation

• To find the value of 'a'

• To determine the center

What is a more simplified form of the hyperbola equation?

• Subtracting from both sides

• Adding fractions

• Multiplying by the reciprocal

• Dividing by a constant