Slope, run and rise of (5,0) (0,-4)

a) g(x) = 2x-2

b) g(x) = 8x-24

c) g(x) =2x-10

d) g(x) = 8x-6

Step-by-step explanation:

Given Shift f(x) four units right

Given function f(x) = 2x-6

a) The function f(x) shifts '4' units right

   g(x) = 2x - 6+4 = 2x -2

b)  f(x) by a factor of 1/4 towards the y-axis

 Given function f(x) = 2x -6

The new function  

g(x) = 4(2x-6) = 8x-24

c)

Given shifts f(x) four units down

g(x)  = 2x-6-4 = 2x -10

d) Stretches by a factor '4'

f(4x) = 4(2x-6) = 8x -6

g(x) =8x -6