Pre-Calculus, 9th edition
29

 PAGE: 663 SET: Exercises PROBLEM: 29

The hyperbola equation is .

The general form of hyperbola is .

Where, The hyperbola is transverse about -axis and   is the center.

is the distance between center and vertex.

is the distance between center and focus and .

The vertices of the hyperbola is .

The foci of the hyperbola is .

Asymptotes of the hyperbola are .

The hyperbola equation is .

Comapre the equation with general form of hyperbola.

The values of and .

Substitute and in .

.

Substitute in .

.

The foci is at and .

Substitute in .

The vertices are at and .

Substitute and in .

.

The asymptotes are and .

Find the points above and below the center by susbtituting in .

.

The points above and below the center are and .

Graph :

Graph of the hyperbola is

The center of the hyperbola is .

The hyperbola is transverse about -axis.

The vertices are at and .

The foci is at and .

The asymptotes are and .

Graph of the hyperbola is

.

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