Drawing A Circle; Drawing An Ellipse; Drawing A Hyperbola; Drawing A General Conics - Casio fx-CP400 User Manual

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:
( – H) 2 + ( – K) 2 = R
• The other form is the general form, which allows you to specify the coefficients of each term:
2 2
A + A + B + C + D = 0

Drawing an Ellipse

You can use the standard equation

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:
• The standard form of a hyperbola with a vertical axis is:

Drawing a General Conics

Using the conics general equation A
whose principal axis is not parallel either to the -axis or the -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.
• -coordinate for a given -coordinate ................................................................. G-Solve - -Cal/ -Cal - -Cal
• -coordinate for a given -coordinate ................................................................. G-Solve - -Cal/ -Cal - -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
• -intercept / -intercept ...............................................................G-Solve - -Intercept / G-Solve - -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).
2
2
( − H)
+
2
A
2
+ B + C
2
( − K)
= 1 to draw an ellipse.
2
B
2
( − H)
–
A 2
( − K) 2 ( − H)
–
2
A
2
+ D + E + F = 0, you can draw a parabola or hyperbola
2
( − K)
= 1
B 2
2
= 1
2
B
Chapter 4: Conics Application 116