Graph a hyperbola given the foci and length of transverse axis

The video tutorial explains how to plot points to determine the foci and center of a conic section. It discusses the transverse axis and how to calculate 'a', 'b', and 'c' values. The instructor demonstrates fraction operations and solving equations with common denominators. The lesson concludes with forming the final equation by multiplying by the reciprocal.

What is the center of the graph when two points are plotted?

• (2,2)

• (3,3)

• (0,0)

• (1,1)

How is the transverse axis determined from the plotted points?

• By calculating the slope

• By measuring the distance from the origin

• By checking the horizontal alignment

• By checking the vertical alignment

What is the value of 'a' when the distance from vertex to vertex is 3?

• 1

• 2

• 3/2

• 3

What is the result of squaring 3/2?

• 9/4

• 3/4

• 1/4

• 6/4

How can 25 be rewritten to simplify fraction operations?

• 50/2

• 25/1

• 100/4

• 75/3

What is the equation format after multiplying by the reciprocal?

• 9X squared over 4 minus 91Y squared over 4 equals one

• X squared over 9 minus Y squared over 91 equals one

• 4X squared over 9 minus 4Y squared over 91 equals one

• X squared over 4 minus Y squared over 9 equals one

Why is it beneficial to multiply by the reciprocal when dealing with fractions?

• It eliminates the need for fractions

• It simplifies the equation

• It makes the equation longer

• It changes the equation's variables