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14-3 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
• {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
implicit function graphs.
uu
uu
uTo calculate the focus and vertex [G-Solv]-[FOCS]/[VTX]
Example To determine the focus and vertex for the parabola
X = (Y – 2)
2
+ 3
Use the following View Window parameters.
Xmin = –1 Ymin = –5
Xmax = 10 Ymax = 5
Xscale = 1 Yscale = 1
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