Casio ClassPad II fx-CP400 - Manual (Page 116)

Chapter 4: Conics Application 116
Drawing a Circle
There are two forms that you can use to draw a circle.
• One form is the standard form, which allows you to specify the center point and radius:
( x – H) 2 + ( y – K) 2 = R 2
• The other form is the general form, which allows you to specify the coefficients of each term:
A x 2 + A y 2 + B x + C y + D = 0
Drawing an Ellipse
You can use the standard equation
( [ − H) 2
A 2
+ = 1
( \ − K) 2
B 2
to draw an ellipse.
Drawing a Hyperbola
A hyperbola can be drawn with either a horizontal or vertical orientation. The hyperbola type is determined by
the direction of its principal axis.
• The standard form of a hyperbola with a horizontal axis is:
( [ − H) 2
A 2
– = 1
( \ − K) 2
B 2
• The standard form of a hyperbola with a vertical axis is:
( \ − K) 2
A 2
– = 1
( [ − H) 2
B 2
Drawing a General Conics
Using the conics general equation A x 2 + B xy + C y 2 + D x + E y + F = 0, you can draw a parabola or hyperbola
whose principal axis is not parallel either to the x -axis or the y -axis, a slanted ellipse, etc.
4-3 Using G-Solve to Analyze a Conics Graph
What You Can Do Using the G-Solve Menu Commands
While there is a graph on the Conics Graph window, you can use a command on the [Analysis] - [G-Solve]
menu to obtain the following information.
• x -coordinate for a given y -coordinate ................................................................. G-Solve - x -Cal/ y -Cal - x -Cal
• y -coordinate for a given x -coordinate ................................................................. G-Solve - x -Cal/ y -Cal - y -Cal
• Focus of a parabola, ellipse, or hyperbola ............................................................................. G-Solve - Focus
• Vertex of a parabola, ellipse, or hyperbola ........................................................................... G-Solve - Vertex
• Directrix of a parabola ........................................................................................................ G-Solve - Directrix
• Axis of symmetry of a parabola ....................................................................................... G-Solve - Symmetry
• Length of the latus rectum of a parabola ...................................................... G-Solve - Latus Rectum Length
• Center point of a circle, ellipse, or hyperbola ........................................................................ G-Solve - Center
• Radius of a circle ................................................................................................................. G-Solve - Radius
• Asymptotes of a hyperbola ........................................................................................... G-Solve - Asymptotes
• Eccentricity of a parabola, ellipse, or hyperbola ........................................................... G-Solve - Eccentricity
• x -intercept / y -intercept ...............................................................G-Solve - x -Intercept / G-Solve - y -Intercept
Tip: The color of Directrix, Symmetry, Asymptotes lines drawn using G-Solve is the color specified by the Graph Format
Sketch Color. For more information about Graph Format, see “Graph Format Dialog Box” (page 36).