Sharp EL9900 manual 1Change the equation in Y2 to y = x 2+2

Page 12

EL-9900 Graphing Calculator

Step & Key Operation

Display

Notes

2-1Change the equation in Y2 to y = x 2+2.

Y=

 

 

 

2nd F

 

SUB

 

 

0

ENTER 2 ENTER

2-2View both graphs.

GRAPH

Notice that the addition of 2 moves the basic y = x 2 graph up two units and the addition of - 2 moves the basic graph down two units on the y-axis. This demonstrates the

fact that adding k (>0) within the standard form y = a (x - h) 2 + k will move the basic graph up k units and placing k (<0) will move the basic graph down k units on the y-axis.

3-1Change the equation in Y2 to y = 2x 2.

Y=

 

 

 

 

2nd F

 

SUB

2

ENTER

 

 

 

 

 

0

ENTER

 

3-2View both graphs.

GRAPH

Notice that the multiplication of 2 pinches or closes the basic y = x 2 graph. This demonstrates the fact that multiplying an a (> 1) in the standard form y = a (x - h) 2 + k will pinch or close the basic graph.

4-1Change the equation in Y2 to y = - 2x 2.

Y=

 

 

 

2nd F

 

SUB

 

(

-

2

 

 

 

 

 

 

 

)

 

ENTER

4-2View both graphs.

GRAPH

Notice that the multiplication of -2 pinches or closes the basic y =x 2 graph and flips it (reflects it) across the x-axis. This dem- onstrates the fact that multiply-

ing an a (<-1) in the standard form y = a (x - h) 2 + k will pinch or close the basic graph and flip it (reflect it) across the x-axis.

The EL-9900 allows various quadratic equations to be graphed easily. Also the characteristics of quadratic equations can be visually shown through the relationship between the changes of coefficient values and their graphs, using the Substitution feature.

4-1

Image 12
Contents EL-9900 Contents Read this first Always read Before StartingUsing this Handbook IntroductionFractions and Decimals ExamplePie Charts and Proportions BeforeSlope and Intercept of Linear Equations 1Enter the equation y = x for Y2 Parallel and Perpendicular Lines 2View the graphs Slope and Intercept of Quadratic Equations 1Change the equation in Y2 to y = x 2+2 1Access the Solver feature This screen will appear a few 4Enter the values L=15,000, I=0.09, N=48 Access the Solver feature 10π 200 15 π1Access the Solver feature 5Solve for the height and enter a starting point Graphing Polynomials and Tracing to Find the Roots 1Move the tracer near the left-hand root Graphing Polynomials and Jumping to Find the Roots = x 4 + x 3 5x 2 3x +Find the next root Solving a System of Equations by Graphing or Tool Feature 1Access the Tool menu. Select the number of variables Entering and Multiplying Matrices 1Multiply the matrices a and B together at the home screen Solving a System of Linear Equations Using Matrices 2Calculate B-1C Solving Inequalities EL-9900 Graphing Calculator Solving Double Inequalities 2x 5 ≥= 2x 5 = 2x 5 and y = 7 intersect at 6,7 + y ≤ 2x + y ≥+ y ≤ + 2y ≤ 1 x 2 + y ≥ + 2y ≤ 1 y ≤ +y ≥ 4 y ≥ 4 xContinuing key operations omitted Slope and Intercept of Absolute Value Functions If x ≥3View the graph Solving Absolute Value Equations Solve an absolute value equation 5 4x =Solving Absolute Value Inequalities = 10, y =2nd F Calc 2 x = = 9.999999999 Note Evaluating Absolute Value Functions +3 1+3Math Graphing Rational Functions + 1x Solving Rational Function Inequalities Graphing Parabolas = y 2 + 2 = y = +√ x +Change to parametric mode Graphing Circles Graph x 2 2x + y 2 + 4y =2x + y 2 + 4y = 2x + y+22 =For Y1 = Y1 2 for Y2, and y = -Y1 -2 for Graphing Ellipses View the graph Graphing Hyperbolas Zoom out the screen Key pad for the Sharp EL-9900 Calculator Key pad for the Sharp EL-9900 Calculator Sharp Graphing Calculator Step Sharp Corporation OSAKA, Japan