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Using g-solve menu commands – Casio ClassPad II fx-CP400 User Manual

Page 117

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Chapter 4: Conics Application

  117

Using G-Solve Menu Commands

When multiple solutions are obtained by a G-Solve command, only one solution is displayed at a time. For
example, executing [Analysis] - [G-Solve] - [Focus] for an ellipse that has two foci will display only one focus
at a time. In a case such as this, use the left and right cursor keys (or tap the left and right graph controller
arrows) to cycle between the available solutions.

u To determine the focus of the parabola

x

= 2(

y

– 1)

2

– 2

1. On the Conics Editor window, input the conics equation and then tap ^ to graph it.

• Here, input the parabolic equation

x

= 2(

y

– 1)

2

– 2.

2. Tap [Analysis] and then [G-Solve]. Next, on the submenu that appears,

select the command you want. To determine the focus for this example,
select [Focus].

• Press the left and right cursor keys to toggle the display between the two

foci.

The following are examples for other G-Solve commands.

0403

To determine the axis of symmetry of the parabola

x

= 2(

y

– 1)

2

– 2

0404

To determine the center point of the circle

x

2

+

y

2

+ 4

x

– 6

y

+ 9 = 0

0405

To determine the radius of the circle

x

2

+

y

2

+ 4

x

– 6

y

+ 9 = 0

0406

To determine the asymptotes of the hyperbola

= 1

(

[

− 1)

2

2

2

(

\

− 2)

2

3

2

0407

To determine the eccentricity of the ellipse

+

= 1

(

[

− 1)

2

2

2

(

\

− 2)

2

3

2

0408

To determine the

x

-intercept of the parabola

x

= 2(

y

– 1)

2

– 2