write a formula for the function

Question

write a formula for the function G(x) obtained when the graph of f(x)=IxI is shifted down 9 units and to the right 14 units

Answer 1

f(x) shifted down 9 units is f(x)-9. subtract 9

shifted to the right 4 units is f(x-14) +19. subtract 4 from x

G(x) = f(x-14)-19

G(x) = |x-14| -9

G(x) = |x-a| - b when f(x) is shifted down b, and right a units

G(x) = |x+a| +b when f(x) is shifted up b and left a units