EL-9600/9400 Graphing Calculator
8-2
There may be differences in the results of calculations and graph plotting depending on the setting.
Return all settings to the default value or to delete all data.
Before
Start
Notes
Step & Key Operation
(When using EL-9600)
*Use either pen touch or cursor to operate.
Display
(When using EL-9600)
Shifting a graph of Absolute Value Functions
The absolute value of a real number
x
is defined by the following:
|
x
| =
x
if
x
≥
0
-
x
if
x
≤
0
If
n
is a positive number, there are two solutions to the equation |
f
(
x
)| =
n
because there
are exactly two numbers with the absolute value equal to
n: n
and -
n.
The existence of two
distinct solutions is clear when the equation is solved graphically.
An absolute value function can be presented as
y = a
|
x -
h
|
+ k.
The graph moves as the
changes of slope
a, x-
intercept
h
,
and
y-
intercept
k.
Move and change graphs of absolute value function
y
=|
x
| to check the relation
between the graphs and the values of coefficients.
Example
1.
Move the graph
y =
|
x
| downward by 2 using the Shift feature.
2.
Move the graph
y =
|
x
| to the right by 2 using the Shift feature.
3.
Pinch the slope of
y =
|
x
| to 2 or minus using the Change feature.
1
-
2
y =
|
x
|changes to
y =
|
x
|
-
2
Move the graph downward by 2.
1
-
1
Access the Shift feature.
Select
y =
|
x
|.
*
(
*
)
*
*
1
-
3
Save the new graph and look at the
relationship of the function and the
graph.
The graph of the equation that
is highlighted is shown by a
solid line. Notice that the
y
-
intercept
k
in the standard
form
y = a
|
x -
h
|
+ k
takes
charge of vertical movement
of the graph.
2nd F
SHIFT/CHANGE
ENTER
ENTER
ENTER
ALPHA
ALPHA
A
8
HB1.DocC.
98.10.1, 11:40 AM
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