Write the equation of a function whose parent function, f(x) = x + 5, is shifted 3 units to the right. g(x) = x + 3 g(x) = x + 8 g(x) = x − 8 g(x) = x + 2

Option DThe equation of a function whose parent function, f(x) = x + 5, is shifted 3 units to the right is g(x) = x + 2Solution:Given that, f(x) = x + 5 is shifted 3 units to the rightIf 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)f(x) = x + 5 is shifted 3 units to the right:The new function, g(x) = f(x - h)Here "h" = 3f(x) = x + 5The x in f(x) will change to (x - 3) The new function = (x - 3) + 5 The new function = x + 2Thus g(x) = x + 2Option D is correct