5-11-17

Function Analysis

kConic Section Graph Analysis

You can determine approximations of the following analytical results using conic section graphs.

•Focus/vertex/eccentricity

•Length of latus rectum

•Center/radius

•x-/y-intercept

•Directrix/axis of symmetry drawing and analysis

•Asymptote drawing and analysis

1.From the Main Menu, enter the CONICS mode.

2.Use f and c to select the conic section you want to analyze.

3.Input the conic section constants.

4.Draw the Graph.

After graphing a conic section, press !5(G-SLV) to display the following graph analysis menus.

u Parabolic Graph Analysis

•{FOCS}/{VTX}/{LEN}/{e} ... {focus}/{vertex}/{length of latus rectum}/{eccentricity}

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

•{X-IN}/{Y-IN} ... {x-intercept}/{y-intercept}

u Circular Graph Analysis

•{CNTR}/{RADS} ... {center}/{radius}

•{X-IN}/{Y-IN} ... {x-intercept}/{y-intercept}

u Elliptical Graph Analysis

•{FOCS}/{VTX}/{CNTR}/{e} ... {focus}/{vertex}/{center}/{eccentricity}

•{X-IN}/{Y-IN} ... {x-intercept}/{y-intercept}

u Hyperbolic Graph Analysis

•{FOCS}/{VTX}/{CNTR}/{e} ... {focus}/{vertex}/{center}/{eccentricity}

•{ASYM} ... {asymptote}

•{X-IN}/{Y-IN} ... {x-intercept}/{y-intercept}

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

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