The graph of f(x) = |x| is translated 6 units to the right and 2 units up to form a new function. which statement about the range of both functions is true?

a. the range is the same for both functions: {y | y is a real number}.\
b. the range is the same for both functions: {y | y > 0}.
c. the range changes from {y | y > 0} to {y | y > 2}.
d. the range changes from {y | y > 0} to {y | y > 6}.

i need quickly !

Range is how far theh y values run, up to down

so

translation up, z units, add z to whole function
translateion right c units, minus c from every x
so
6 to right
2 up
minus 6 from every x and ad 2 to everybody

f(x)=|x-6|+2
the range needs some logic
so find the smallest and largest value of y or f(x)
absolute value make thing positive, so making an extremely large negative number gives a large positive number
make absolute value 0 then f(x)=2, min is 2
max is infinity

range changes  from y>0 to y>2
C is answer

Ithink the answer is a i hope it ya

Best answer that i found on yahoo ok   set :   x= length of 2nd piece in cm  x- 3= length of 1st piece in cm  x-4= length of 3rd piece in cm  then since you know they all came from the 20 cm ribbon you add them together and set them equal to 20x+ x-3 +x-4 = 20  3x - 7= 20  3x= 27  x= 9  the shortest piece is the third piece which is x- 4  x-4  9-4 = 5  the length of the smallest piece is 5 cm.  the other lengths are  9 cm  6 cm