Sharp EL-9400 EL-9650/9600c/9450/9400 Graphing Calculator, Move the graph y = x 2 to the right by

Models: EL-9650 EL-9600c EL-9400

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2-1Move the graph y = x 2 to the right by 3.

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

Step & Key Operation

Display

Notes

(When using EL-9650/9600c)

(When using EL-9650/9600c)

 

*Use either pen touch or cursor to operate.

 

 

2-1Move the graph y = x 2 to the right by 3.

CL

(three times)

ENTER *

2-2Save the new graph and observe the changes in the graph and the equation

ENTER Manual backgroundManual backgroundALPHA

Notice that movement of the basic y = x2 graph to the right by 3 units in the direction of the x-axis is equivalent to the addition of 3 to the x -intercept.

This demonstrates that movement of the graph to the right means adding an h (>0) in the standard form y = a (x - h) 2 + k and movement to the left means subtracting an h (<0).

3-1Access Change feature and select the equation y = x 2.

2nd F Manual backgroundManual backgroundSHIFT/CHANGE Manual backgroundManual background B *

1*

3-2Pinch the slope of the graph.

ENTER

3-3Save the new graph and observe the changes in the graph and the equation.

ENTER Manual backgroundManual backgroundALPHA

Notice that pinching or closing the basic y = x 2 graph is equivalent to increasing an a (>1) within the standard form y = a (x - h) 2 + k and broadening the graph is equivalent to decreasing an

a(<1).

The Shift/Change feature of the EL-9650/9600c/9450/9400 allows visual understanding of how graph changes affect the form of quadratic equations.

2-2

Page 12
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Sharp EL-9400, EL-9600c manual EL-9650/9600c/9450/9400 Graphing Calculator, Move the graph y = x 2 to the right by