Given the foci and vertices write the equation of a hyperbola

What is the first step in writing the equation of a hyperbola given the foci and vertices?

• Determine the center of the hyperbola

• Plot the foci and vertices

• Calculate the distance between the foci

• Choose the correct formula based on the axis orientation

How do you determine the orientation of the transverse axis of a hyperbola?

• By plotting the foci and vertices

• By calculating the distance between the foci

• By finding the midpoint of the vertices

• By using the formula for 'c'

Which of the following is true about the transverse axis of the hyperbola in this problem?

• It is diagonal

• It is horizontal

• It is vertical

• It is undefined

What is the center of the hyperbola given the vertices at (6,0) and (-6,0)?

• (0,0)

• (6,6)

• (-6,0)

• (0,6)

What is the value of 'a' if the distance from the center to a vertex is 6?

• 6

• 36

• 18

• 12

How is 'b' calculated in a hyperbola when 'a' and 'c' are known?

• b^2 = c^2 - a^2

• b = c - a

• b = a + c

• b^2 = a^2 + c^2

What is the final equation of the hyperbola with center (0,0), a^2 = 36, and b^2 = 28?

• x^2/36 - y^2/28 = 1

• x^2/28 - y^2/36 = 1

• y^2/36 - x^2/28 = 1

• y^2/28 - x^2/36 = 1