how to determine the foci and vertices of a hyperbola

The video tutorial explains how to find the vertices and foci of a hyperbola. It begins by determining the orientation of the hyperbola, whether horizontal or vertical, based on the equation format. The tutorial then guides through calculating the vertices by adding and subtracting the value of 'a' from the center. Finally, it explains how to find the foci by calculating the value of 'C' using the equation C^2 = a^2 + b^2 and adjusting the center accordingly.

What is the standard form of the equation for a hyperbola?

• a^2 + b^2

• a^2 - b^2

• a^2 * b^2

• b^2 - a^2

How can you determine if a hyperbola is horizontal?

• By checking if x is over a

• By checking if x is over b

• By checking if y is over a

• By checking if y is over b

Where is the center of the hyperbola located in this example?

• (-2, 1)

• (2, -1)

• (1, 2)

• (0, 0)

What is the distance from the center to the vertices in a horizontal hyperbola?

• b

• c

• a

• d

How do you find the vertices of a horizontal hyperbola?

• Add and subtract c from the x-coordinate of the center

• Add and subtract a from the x-coordinate of the center

• Add and subtract b from the y-coordinate of the center

• Add and subtract a from the y-coordinate of the center

What equation is used to find the distance to the foci?

• c^2 = a^2 * b^2

• c^2 = a^2 + b^2

• c^2 = a^2 - b^2

• c^2 = b^2 - a^2

How do you determine the foci of a horizontal hyperbola?

• Add and subtract c from the y-coordinate of the center

• Add and subtract b from the x-coordinate of the center

• Add and subtract c from the x-coordinate of the center

• Add and subtract a from the y-coordinate of the center