[br][b][size=150]The linear function [color=#ff0000]y = x[/color], denoted by function g. [br][/size] [br][/b]The slope-intercept form is [color=#ff0000][b]y = mx + b[/b][/color], where m=slope and b=y-intercept of the function.[br][br] [size=150][color=#ff0000][b]Note[/b][/color][/size]: The 'slider' feature on the x-y coordinate plane can be used to change the [color=#ff0000][b]m and b[/b][/color] values [br] for the following exercises. To do so, place the cursor and hold it on the dot of the slider and [br] slide it to the desired m and b values.[br] To move the slider to a different location on the x-y plane, place the cursor and hold it on the line [br] of the slider and move it to the desired location.[br][br][color=#ff00ff][b] Note: You can zoom in or out with the mouse.[/b][br][/color]

[size=150][b]Perform the following linear function transformation:[br][/b][/size][br][b]Vertical shift of 3 units up (y-intercept = 3). [br][br][/b] [color=#0000ff]The new function is [/color][b][color=#ff0000]y=x +3[/color][/b][color=#0000ff] , denoted by function f.[br] Set the slope of the function to m=1 by entering 1 for m.[br] Set the y-intercept of the function to b=3 by entering 3 for b. [br][/color][color=#ff00ff][b] Observe the transformation of the linear function.[/b][/color]

[b]Perform the following linear function transformation:[br][/b][br][b]Vertical shift of 3 units down (y-intercept = -3). [br][br][/b] [color=#0000ff]The new function is [/color][b][color=#ff0000]y=x - 3[/color][/b] , [color=#0000ff]denoted by function f.[br] Set the slope of the function to m=1 by entering 1 for m.[br] Set the y-intercept of the function to b=-3 by entering -3 for b. [br][/color][color=#ff00ff][b] Observe the transformation of the linear function.[/b][/color]

[b]Perform the following linear function transformation:[br][/b][br][b]Change slope of the linear function to 2. [br][br][/b] [color=#0000ff]The new function is [/color][b][color=#ff0000]y=2x[/color][/b] , [color=#0000ff]denoted by function f.[br] Set the slope of the function to 2 by entering 2 for m.[br] Set the y-intercept of the function to b=0 by entering 0 for b. [br][/color][color=#ff00ff][b] Observe the transformation of the linear function.[/b][/color]

[b]Perform the following linear function transformation:[br][/b][b][br]Change slope of the linear function to - 2. [br][br][/b] [color=#0000ff]The new function is [/color][b][color=#ff0000]y= - 2x[/color][/b] ,[color=#0000ff]denoted by function f. [/color][br][color=#0000ff] Set the slope of the function to -2 by entering -2 for m.[br] Set the y-intercept of the function to b=0 by entering 0 for b. [br][/color][b][color=#ff00ff] Observe the transformation of the linear function.[/color][/b]

[b][b]Perform the following linear function transformation:[br][/b][br]Graph a constant linear function by changing the slope of the [br] linear function to 0 with a y-intercept of 3.[br][br][/b] [color=#0000ff]The new function is [/color][b][color=#ff0000]y= 0 +3 = 3 [/color][/b] , [color=#0000ff]denoted by function f[/color]. [br][color=#0000ff] Set the slope of the function to 0 by entering zero for m.[br] Set the y-intercept of the function to 3 by entering 3 for b. [br][/color][color=#ff00ff][b] Observe the transformation of the linear function. [/b][/color][br]

[b]Repeat this exercise as many times as desired until concept is mastered. [/b] [br][br] Use different values of [color=#ff0000][b]m and b[/b][/color].[br]