Chapter 4: Conics Application 119
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 parameters 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 = Ay
2
+ By + 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 = Ay
2
+ By + 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 = Ax
2
+ Bx + C.
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