Which of the following is the parent function of all absolute value functions?
a. f(x) = 3x
b. f(x) = |x|
c. f(x) = 2|x|
d. f(x)=x^2

Each family of functions has a parent function. A parent function is the simplest function that still satisfies the definition of a certain type of function.

A. this function is linear function;

B. This function is absolute value function and is known to be parent function, because it is of the simpliest form.

C. This function is also absolute value function, but is not of the simpliest form (parent function y=|x| is streched by factor 3 to form y=3|x|).

D. This function is quadratic function.

correct choice is B

fa tha first one you gonna add y to both sides

it look like this

x-y+y=6+y

x=y+6

therefore your answer is

x =y+6

fa tha second one

you gonna flip tha equation

it gonna look like x-4y=y

then add 4 to both sides

it gonna look like tha

x-4 +4 =y +4

so therefore tha answer is x=y+4

step-by-step explanation: