graphicalc as situating tool

GraphCalc is an open-source computer program that runs in Microsoft Windows and Linux that provides the functionality of a graphing calculator.

steps to use Graphcalc

1. Open GraphCalc

2. Click on graph 1

3. Choose 2D-graph

3. Click on equation

5. Type equation and apply

Case 1

Use GraphCalc and generate a line of equation, when the equation is y=2x+1

Prediction: I thought there would be many diagonal line 

Observation: after plotting the graph with its equation, I came to observe that the line was indeed diagonal straight line which moved from top right to bottom left.

case 2

y=-2x+1

y=-4x+1

y=-6x+1

Prediction: I predicted that the graph line would move from top left to bottom right

Observation: all the lines move diagonally from top left to right

Case 3

y=2x=1

Prediction: I thought the graph line would move from top right to bottom left

Observation: The line move parallels in the x-axis

case 4

y=2x+1

y=2x+2

y=2x+3

 Prediction: I suppose the graph line would move from top right to bottom left

 Observation: The lines move diagonally from right to left. All the line move across the x-axis, but their the line move bigger and bigger when we increase the constant with same variable.

case 5

y=2x-1

y=4x-1

 

Prediction: initially i thought the graph line would move from top left to bottom right.

Observation: The lines move diagonally from right to left, and when the variable is increased from 2 to 4 the line is moved diagonally from right to left but the line is diminishing or decreasing.

case 6

y=-2x-1

y=-4x-2

y=-6x-3

Prediction: i feel that the graph line would move diagonally from top right to bottom right.

Observation: the lines ,oved diagonally from left to right, and when the variable increases, the value of constant also increases, the line is moved diagonally from right to left with same point but the line diminishes from earlier line.

case 7

y=-2x+1

y=-4x+-1

Prediction: i thought the graph would move diagonally from top left to bottom right

Observation: The lines are moved diagonally from left to right and line of coordinates changes when the value of variable increases. 

case 8

solve the equation; y=(x+5)(x-1)

Prediction:  i suppose the graph would appear like a curve

Observation: after plotting the equation, the line forms U-shape.

case 9

y=x^2-2x+4

Prediction: i thought the graph line would move from top right to bottom left.

Observation: After plotting the equation, the line forms U-shape.