Question

What information do you need to graph hyperbolas?

Answer 1

If It's known the equation of the hyperbolas, that is:

(

x

−

x

c

)

2

a

2

−

(

y

−

y

c

)

2

b

2

=

±

1

,

we can graph the hyperbolas in this way:

find the center

C

(

x

c

,

y

c

)

;

make a rectangle with the center in

C

and with sides

2

a

and

2

b

;

draw the lines that pass from the opposite vertices of the rectangle (the asymptotes);

if the sign of

1

is

+

, than the two branches are left and right of the rectangule and the vertices are in the middle of the vertical sides, if the sign of

1

is

−

, than the two branches are up and down of the rectangule and the vertices are in the middle of the horizontal sides.

Answer 2

Answer:

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To graph a hyperbola....

• Determine if it is horizontal or vertical. Find the center point, a, and b.

• Graph the center point.

• Use the a value to find the two vertices.

• Use the b value to draw the guiding box and asymptotes.

• Draw the hyperbola.

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