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3 implicit function graph analysis – Casio fx-9750G Implicit Function Graphs User Manual

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Implicit Function Graph Analysis

You can determine approximations of the following analytical results using implicit
function graphs.

• Focus/vertex calculation

• Latus rectum calculation

• Center/radius calculation

x

-/

y

-intercept calculation

• Directrix/axis of symmetry drawing and analysis

• Asymptote drawing and analysis

After graphing an implicit function, press

5

(G-Solv) to display the Graph Analysis

Menu.

• Parabolic Graph Analysis

1

(FOCS) .... Determines the focus.

2

(SYM) ....... Draws the axis of symmetry.

3

(DIR) ........ Draws the directrix.

4

(VTX) ....... Determines the vertex.

5

(LEN) ....... Determines the latus rectum.

• Circle Graph Analysis

1

(CNTR) .... Determines the center.

2

(RADS) .... Determines the radius.

• Ellipse Graph Analysis

1

(FOCS) .... Determines the focus.

2

(X-IN) ....... Determines the

x

-intercept.

3

(Y-IN) ........ Determines the

y

-intercept.

• Hyperbolic Graph Analysis

1

(FOCS) .... Determines the focus.

2

(X-IN) ....... Determines the

x

-intercept.

3

(Y-IN) ........ Determines the

y

-intercept.

4

(VTX) ....... Determines the vertex.

5

(ASYM) .... Determines the asymptote.

The following examples show how to use the above menus with various types of
implicit function graphs.

1 2 3 4 5

6

1 2

3 4 5 6

1 2 3

4 5 6

1 2 3 4 5

6