If f ( 4 ) = − 1 , write an ordered pair that must be on the graph of y = f ( x − 2 ) + 1

Answer 1

x-2 = 4 when x = 6

So, when x = 6, we have y = f(6-2) + 1 = f(4) + 1 = -1 + 1 = 0

Point on the graph: (6,0)

Alternative solution: the graph of y = f(x-2) + 1 can be obtained from the graph of y = f(x) by translating the graph of y = f(x) two units to the right and 1 unit upward.

So, since (4,-1) is on the graph of y = f(x), (6,0) is on the graph of y = f(x-2) + 1.

Answer 2

Set x-2 = 4, x = 6.

Then y = f(6-2) +1 = f(4)+1 =-1+1 = 0.

Point (6,0) is this order pair.