Graph transformations

Question

The graph of f(x) contains the point (5, 6). What point must be on each of the following transformed graphs? Enter points as (a,b) including the parentheses.

(a) The graph of f(x-8) must contain the point

(b) The graph of f(x)-7 must contain the point 

(c) The graph of f(x+6)+5 must contain the point 

Answer 1

a) (13,6) = (5+8, 6)

b) (5,-1) = (5, 6-5)

c) (-1,11) = (5-6, 6+5)