Understanding Hyperbolas

The signs of the terms in the equation

The values of the denominators

The order of the terms in the equation

The coefficients of the equation

By identifying the coefficients of x and y

By solving for x and y

By using the values inside the squared terms

By calculating the average of the denominators

They represent the squared values of 'a' and 'b'

They determine the orientation of the hyperbola

They are used to find the center

They indicate the direction of the foci

By adding and subtracting 'a' from the x-coordinate of the center

By finding the midpoint of the transverse axis

By using the y-coordinate of the center

By calculating the average of the foci

b^2

b

2b

b/2

c^2 = a^2 + b^2

c = a - b

c^2 = a^2 - b^2

c = a + b

3.5

3.8

3.6

3.7

By finding the midpoint of the foci

By solving the hyperbola equation

By using the vertices and the center

By using the center and the slopes derived from 'a' and 'b'

a and -a

b and -b

b/a and -b/a

a/b and -a/b

It approaches the asymptotes but never touches them

It is perpendicular to the asymptotes

It is parallel to the asymptotes

It intersects the asymptotes