MATH SOLVE

2 months ago

Q:
# 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,

Accepted Solution

A:

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