In Exercises 3-8, write a function g whose graph represents the indicated transformation of the graph
of f. Use a graphing calculator to check your answer.
(See Example 1.)
3. f(x) = x - 5; translation 4 units to the left
4. f(x) = x + 2; translation 2 units to the right
5. f(x) = 4x +31 + 2; translation 2 units down
6. f(x) = 2x - 9; translation 6 units up

  or  

step-by-step explanation:

if the four friends split the cost, p, of the pizza evenly, then each friend pays one-fourth of the cost of the pizza.

the expression is   or  

a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional

step-by-step explanation:

the true statements are:

r = set of real numbers

n = set of natural numbers, 1,2,

w = n u{0} = {0,1,}