Casio CFX-9850G PLUS Graph Manual
14. conic section graphs
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Also See for CFX-9850G PLUS:
- User manual (85 pages) ,
- Calculations manual (72 pages) ,
- Programming manual (48 pages)
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Chapter
14
Conic Section Graphs
You can graph any one of the following types of conic sections
using the calculator's built-in functions.
• Parabolic graph
• Circle graph
• Elliptical graph
• Hyperbolic graph
14-1 Before Graphing a Conic Section
14-2 Graphing a Conic Section
14-3 Conic Section Graph Analysis
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Summary of Contents for Casio CFX-9850G PLUS
- Page 1 Chapter Conic Section Graphs You can graph any one of the following types of conic sections using the calculator’s built-in functions. • Parabolic graph • Circle graph • Elliptical graph • Hyperbolic graph 14-1 Before Graphing a Conic Section 14-2 Graphing a Conic Section 14-3 Conic Section Graph Analysis...
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Page 2: Before Graphing A Conic Section
14-1 Before Graphing a Conic Section k k k k k Entering the CONICS Mode 1. In the Main Menu, select the CONICS icon and enter the CONICS Mode. When you do, the following built in function menu appears on the screen. 2. -
Page 3: Graphing A Conic Section
14-2 Graphing a Conic Section Example 1 To graph the circle (X – 1) + (Y – 1) Use the following View Window parameters. Xmin = –6.3 Ymin = –3.1 Xmax = 6.3 Ymax = 3.1 Xscale = 1 Yscale = 1 1. - Page 4 14 - 2 Graphing a Conic Section (X – 3) (Y – 1) Example 2 To graph the hyperbola –––––––––– – –––––––––– = 1 Use the following View Window parameters. Xmin = –8 Ymin = –10 Xmax = 12 Ymax = 10 Xscale = 1 Yscale = 1.
- Page 5 14 - 2 Graphing a Conic Section • Conic section graphs can be drawn in blue only. • You cannot overwrite conic section graphs. • The calculator automatically clears the screen before drawing a new conic section graph. • You can use trace, scroll, zoom, or sketch after graphing a conic section. However, a conic section graph cannot be scrolled while using trace.
- Page 6 14 - 2 Graphing a Conic Section • A hyperbola is the locus of points related to two given points F and F’ such that the difference in distances of each point from the two given points is constant. Points F and F’ are the “foci,” points A and A’ where the hyperbola intersects the x-axis are the “vertexes,”...
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Page 7: Conic Section Graph Analysis
14-3 Conic Section Graph Analysis You can determine approximations of the following analytical results using conic section graphs. • Focus/vertex calculation • Latus rectum calculation • Center/radius calculation • -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. - Page 8 14 - 3 Conic Section Graph Analysis 5 (G-Solv) 1 (FOCS) (Calculates the focus.) 5 (G-Solv) 4 (VTX) (Calculates the vertex.) • When calculating two foci for an ellipse or hyperbolic graph, press e to calculate the second focus. Pressing d returns to the first focus. •...
- Page 9 14 - 3 Conic Section Graph Analysis 5 (G-Solv) 1 (CNTR) (Calculates the center.) 5 (G-Solv) 2 (RADS) (Calculates the radius.) u u u u u To calculate the - and -intercepts [G-Solv]-[X-IN]/[Y-IN] Example To determine the - and -intercepts for the hyperbola (X –...
- Page 10 14 - 3 Conic Section Graph Analysis u u u u u To draw and analyze the axis of symmetry and directrix [G-Solv]-[SYM]/[DIR] Example To draw the axis of symmetry and directrix for the parabola X = 2(Y – 1) Use the following View Window parameters.
- Page 11 14 - 3 Conic Section Graph Analysis • Certain View Window parameters can produce errors in values produced as graph analysis result. • The message ”Not Found” appears on the display when graph analysis is unable to produce a result. •...