Parameter Changes to a Linear Function Activity Sheet

Parameter Changes to a Linear Function Activity Sheet

Geogebra Activity Guide 1.      Find the slope of f(x). __________________________________________________ 2.      Find the slope when g(x) is parallel to the line f(x). __________________________________________________ 3.      Find the slope when g(x) is perpendicular to the line f(x). ________________________________________________ 4.      What does slider m affect when moved? __________________________________________________ 5.      What does slider b affect when moved? __________________________________________________ 6.      When b = 0, what is true for both graphs f(x) and g(x)? __________________________________________________ 7.      Complete the following table:
  m and b     f (x) =     g (x) =     Slope =     Y-intercept =   Parallel, Perpendicular, or Neither  
  m= 0,   b=5                                
m =4.5, b= 0                                
  m= -6,     b=1                                
  m=.5,   b=10                                
  m= 2,   b= -6                                
  m=1,   b=0                                
8.      Were any functions of g(x) similar or identical to the function f(x)? If so, which one(s)? __________________________________________________