Casio ClassPad II fx-CP400 - Manual (Page 115)

Chapter 4: Conics Application 115
4-1 Inputting an Equation
You can select one of the preset Conics Forms or input a conics equation manually. You can also transform a
manually input equation to a Conics Form.
u To input an equation using a Conics Form
1. On the Conics Editor window, tap q to displays the
Select Conics Form dialog box.
2. Select the Conics Form of the type of equation you
want to graph, and then tap [OK].
• This displays the Conics Editor window, which will
contain the selected Conics Form.
3. Change the coefficients of the equation as required.
Horizontal Parabola 1
Horizontal Parabola 2
Vertical Parabola 1
Vertical Parabola 2
Circle 1
Circle 2
Ellipse
Horizontal Hyperbola
Vertical Hyperbola
General Form
0401 To use a Conics Form to input the equation for a parabola with a horizontal axis (principal axis parallel
with x -axis)
u To input an equation manually
Make the Conics Editor window active, and then use the soft keyboard for input.
u To transform a manually input equation to a Conics Form
0402 To transform the equation
( [ − 1) 2
2 2
[ 2
4
+ ( \ − 2) 2 = to the standard Conics Form x = A y 2 + B y + C
Tip
• If the equation you input cannot be transformed into the standard Conics Form you selected, the message “Can’t
Transform into This Type” appears.
• An input equation may not transform correctly if it includes a square root calculation or some other function.
4-2 Drawing a Conics Graph
Tip: You can drag the Conics Graph window screen to scroll (pan) its contents (except for Trace, Sketch, G-Solve, box
zoom, and certain other functions).
Drawing a Parabola
A parabola can be drawn with either a horizontal or vertical orientation. The parabola type is determined by the
direction of its principal axis.
• A parabola with a horizontal axis is one whose principal axis is parallel to the x -axis. There are two possible
equations for a parabola with a horizontal axis:
x = A( y – K) 2 + H and x = A y 2 + B y + C.
0401 To draw the parabola x = 2( y – 1) 2 – 2
• A parabola with a vertical axis is one whose principal axis is parallel to the y -axis. There are two possible
equations for a parabola with a vertical axis:
y = A( x – H) 2 + K and y = A x 2 + B x + C.