Graphing a hyperbola in standard form

The video tutorial explains how to analyze a hyperbola in standard form. It covers identifying key parameters such as a^2, b^2, and c^2, determining the orientation of the transverse axis, and locating the vertices and foci. The tutorial also describes how to find the equations of the asymptotes and graph the hyperbola, emphasizing the horizontal opening of the parabolas. The process is broken down into clear steps, making it easy to follow and understand.

What is the formula used to find c^2 in a hyperbola?

• a^2 / b^2 = c^2

• a^2 - b^2 = c^2

• a^2 + b^2 = c^2

• a^2 * b^2 = c^2

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

• By checking if a^2 is under y

• By checking if b^2 is under y

• By checking if a^2 is under x

• By checking if b^2 is under x

What is the distance from the center to the vertices of a hyperbola?

• The value of a + b

• The value of b

• The value of c

• The value of a

How is the slope of the asymptotes of a hyperbola determined?

• By the ratio of a to b

• By the ratio of b to a

• By the difference of a and b

• By the sum of a and b

What is the equation for the asymptotes of a hyperbola centered at the origin?

• y = ± a/b * x

• y = ± b/a * x

• y = ± b * x

• y = ± a * x