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14-3 Implicit Function Graph Analysis

You can determine approximations of the following analytical results using implicit

function graphs.

After graphing an implicit function, press 5 (G-Solv) to display the Graph

Analysis Menu.

The following examples show how to use the above menus with various types of

implicit function graphs.

u u u u u To calculate the focus and vertex

• Focus/vertex calculation

• Latus rectum calculation

• Center/radius calculation

•

-intercept calculation

• Directrix/axis of symmetry drawing and analysis

• Asymptote drawing and analysis

Parabolic Graph Analysis

• {FOCS} ... {determines the focus}

• {SYM}/{DIR} ... draws the {axis of symmetry}/{directrix}

• {VTX}/{LEN} ... determines the {vertex}/{latus rectum}

Circle Graph Analysis

• {CNTR}/{RADS} ... determines the {center}/{radius}

Ellipse Graph Analysis

• {FOCS}/{X-IN}/{Y-IN} ... determines the {focus}/{x-intercept}/{y-intercept}

Hyperbolic Graph Analysis

• {FOCS}/{X-IN}/{Y-IN}/{VTX} ... determines the {focus}/{x-intercept}/{y-intercept}/

{vertex}

• {ASYM} ... {draws the asymptote}

Example

To determine the focus and vertex for the parabola

X = (Y – 2)

Use the following View Window parameters.

Xmin

Xmax = 10

Xscale = 1

+ 3

= –1

Ymin

Ymax = 5

Yscale = 1

[G-Solv]-[FOCS]/[VTX]

= –5

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