Chapter 4: Conics Application
121
Using G-Solve Menu Commands
When multiple solutions are obtained by a G-Solve command, only one solution is displayed at a time. For
example, executing [Analysis] - [G-Solve] - [Focus] for an ellipse that has two foci will display only one focus
at a time. In a case such as this, use the left and right cursor keys (or tap the left and right graph controller
arrows) to cycle between the available solutions.
u
To determine the focus of the parabola
x
= 2(
y
– 1)
2
– 2
1. On the Conics Editor window, input the conics equation and then tap
^
to graph it.
• Here, input the parabolic equation
x
= 2(
y
– 1)
2
– 2.
2. Tap [Analysis] and then [G-Solve]. Next, on the submenu that appears,
select the command you want. To determine the focus for this example,
select [Focus].
• Press the left and right cursor keys to toggle the display between the two
foci.
The following are examples for other G-Solve commands.
0403
To determine the axis of symmetry of the parabola
x
= 2(
y
– 1)
2
– 2
0404
To determine the center point of the circle
x
2
+
y
2
+ 4
x
– 6
y
+ 9 = 0
0405
To determine the radius of the circle
x
2
+
y
2
+ 4
x
– 6
y
+ 9 = 0
0406
To determine the asymptotes of the hyperbola
−
= 1
(
− 1)
2
2
2
(
− 2)
2
3
2
0407
To determine the eccentricity of the ellipse
+
= 1
(
− 1)
2
2
2
(
− 2)
2
3
2
0408
To determine the
x
-intercept of the parabola
x
= 2(
y
– 1)
2
– 2
4-4
Modifying a Graph (Dynamic Modify)
A graph can be modified in real time as you change its parameter values.
u
To modify a graph
0409
To observe the form and position of the graph of the parabola
x
=
ay
2
+
by
+
c
as parameters
a
,
b
, and
c
are each changed within a range of –2 to 2
