Implicit Function Graph Analysis - Casio CFX-9970G User Manual

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
x y
• -/ -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
2 + 3
= –1 Ymin
Ymax = 5
Yscale = 1
[G-Solv]-[FOCS]/[VTX]
= –5
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