EL-9650/9600c/9450/9400 Graphing Calculator

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

 

-xif 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 = ax - h+ k. The graph moves as the changes of slope a, x-intercept h, and y-intercept k.

Example

Move and change graphs of absolute value function y =x to check the relation between the graphs and the values of coefficients.

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.

Before There may be differences in the results of calculations and graph plotting depending on the setting. Starting Return all settings to the default value and delete all data.

Step & Key Operation

Display

Notes

(When using EL-9650/9600c)

(When using EL-9650/9600c)

 

*Use either pen touch or cursor to operate.

 

 

1-1Access the Shift feature. Select y = x.

2nd F SHIFT/CHANGE A *

(

ENTER

 

ALPHA

 

 

* )

8

*

 

 

 

 

 

 

 

1-2Move the graph downward by 2.

ENTER *

1-3Save the new graph and look at the relationship of the function and the graph.

ENTER ALPHA

y=xchanges to y = x-2

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 = ax - h+ k takes charge of vertical movement of the graph.

8-2

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Sharp EL-9650, EL-9400, EL-9600c manual Shifting a graph of Absolute Value Functions
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EL-9650, EL-9600c, EL-9400 specifications

The Sharp EL-9400 and EL-9450 are advanced programmable scientific calculators designed for professionals and students alike. Renowned for their versatile functionality and user-friendly interface, these calculators are popular in the fields of engineering, mathematics, and the sciences.

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Overall, the Sharp EL-9400 and EL-9450 stand out as powerful tools for anyone needing a reliable computing resource. Their combination of programmable features, comprehensive function sets, and user-friendly design makes them invaluable assets for students and professionals engaged in advanced mathematics and scientific calculations. With these calculators, users are equipped to tackle challenges and explore complex mathematical concepts with confidence.
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