Sharp EL-9650, EL-9400, EL-9600c manual Shifting a Graph of Quadratic Equations, Example

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

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Shifting a Graph of Quadratic Equations

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

Shifting a Graph of Quadratic Equations

A quadratic equation of y in terms of x can be expressed by the standard form y = a (x - h) 2 + k, where a is the coefficient of the second degree term (y = ax 2 + bx + c) and (h, k) is the vertex of the parabola formed by the quadratic equation. An equation where the largest exponent on the independent variable x is 2 is considered a quadratic equation. In graphing quadratic equations on the calculator, let the x-variable be represented by the horizontal axis and let y be represented by the vertical axis. The relation of an equation and its graph can be seen by moving the graph and checking the coefficients of the equation.

Example

Move or pinch a graph of quadratic equation y = x 2 to verify the relation between the coefficients of the equation and the graph.

1. Shift the graph y = x 2 upward by 2.

2. Shift the graph y = x 2 to the right by 3.

3. Pinch the slope of the graph y = x 2.

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 Shift feature and select the equation y = x 2.

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

1*

1-2Move the graph y = x 2 upward by 2.

ENTER *

1-3Save the new graph and observe the changes in the graph and the equation.

ENTER Manual backgroundManual backgroundALPHA

Notice that upward movement of the basic y = x 2 graph by 2 units in the direction of the y- axis means addition of 2 to the y-intercept. This demonstrates

that upward movement of the graph by k units means adding a k (>0) in the standard form y = a (x - h) 2 + k.

2-2

Page 11
Image 11
Sharp EL-9400, EL-9600c Shifting a Graph of Quadratic Equations, EL-9650/9600c/9450/9400 Graphing Calculator, Example