4-3-6

Drawing a Conics Graph

Drawing a Hyperbola

A hyperbola can be drawn with either a horizontal or vertical orientation. The hyperbola type is determined by the direction of its principal axis.

IDrawing a Hyperbola that Opens Horizontally

 

(x – H)2

– (y – K)2

 

The standard form of a hyperbola with a horizontal axis is:

= 1.

 

 

 

 

 

 

 

A2

 

 

 

B2

 

Example: To draw the hyperbola with a horizontal axis

(x

– 1)2

(y – 2)2

 

 

 

 

 

–

 

 

 

 

= 1

 

 

22

 

 

 

32

 

 

 

 

 

 

 

 

 

 

 

SClassPad Operation

(1) On the Conics Editor window, tap p, or tap [Form] and then [Insert Conics Form].

• This displays the Select Conics Form dialog box.

(2) Select “ (X – H)2 – (Y – K)2 = 1 ” and then tap [OK].

A2B2

•This closes the Select Conics Form dialog box, and displays the selected equation in the Conics Editor window.

(3)Change the coefficients of the equation as follows: A = 2, B = 3, H = 1, K = 2.

(4)Tap >to graph the equation.

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