If you apply the changes below to the absolute value parent function, f(x) =|x| what is the equation of the new function? • shift 5 units right. • shift 7 units down,

The new function is g(x) = Ix - 5I - 7 ⇒ answer C

Step-by-step explanation:

* Lets revise the translation of a function

- If the function f(x) translated horizontally to the right  

 by h units, then the new function g(x) = f(x - h)

- If the function f(x) translated horizontally to the left  

 by h units, then the new function g(x) = f(x + h)

- If the function f(x) translated vertically up  

 by k units, then the new function g(x) = f(x) + k

- If the function f(x) translated vertically down  

 by k units, then the new function g(x) = f(x) – k

* Now lets solve the problem

∵ f(x) = IxI

∵ f(x) is shifted 5 units to the right

∵ If the function f(x) shifted to the right  by h units

∴ g(x) = f(x - h)

- Change IxI to Ix - 5I ⇒ (1)

∵ f(x) is shifted 7 uints down

∵ If the function f(x) shifted down  by k units

∴ g(x) = f(x) - k

- Change f(x) to f(x) - 7 ⇒ (2)

- From (1) and (2) the new function is:

 g(x) = Ix - 5I - 7

* The new function is g(x) = Ix - 5I - 7

how is that middle school

step-by-step explanation:

r(0,90)(x,y) . t(-5,0)

last option

step-by-step explanation:

∆def to ∆d"e"f"

- rotate 90 counterclockwise degrees

- then translated 5 to the left (x --> x - 5)

answer is the last option