Translation of a units to the right and b units up

Question

Geometry 

the function for 

 

translation of a units to the b units up

Answer 1

If you are translating a function to the right by a,

 

x → x - a.

 

Translating up by b,

 

f(x) → f(x) + b

 

Combine the 2.

 

f(x) → f(x - a) + b