Casio FXCP400 4-1Inputting an Equation, 4-2Drawing a Conics Graph, − 1), Drawing a Parabola, Chapter 4: Conics Application, uTo input an equation manually

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.

uTo 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)

uTo input an equation manuallyMake the Conics Editor window active, and then use the soft keyboard for input.uTo transform a manually input equation to a Conics Form

0402 To transform the equation ( − 1)2 + ( − 2)2 = 2 to the standard Conics Form x = Ay2 + By + C

224

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 = Ay2 + 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 = Ax2 + Bx + C.

Chapter 4: Conics Application 115