Conic Section Graph Analysis - Casio FX-9750G plus User Manual

14-3 Conic Section Graph Analysis

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You can determine approximations of the following analytical results using conic
section 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 a conic section, press 5 (G-Solv) to display the Graph Analysis
Menu.
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}
The following examples show how to use the above menus with various types of
conic section graphs.
u u u u u To calculate the focus and vertex
Example To determine the focus and vertex for the parabola
X = (Y – 2)
Use the following View Window parameters.
Xmin
Xmax = 10
Xscale = 1
manuals search engine
+ 3
2
= –1 Ymin = –5
Ymax = 5
Yscale = 1
[G-Solv]-[FOCS]/[VTX]
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