Answer
The function
f(2x-1)+1
is obtained from
f(2x-1)
by adding
1
.
The function
f(2x-1)
is obtained from
f(x-1)
by substituting
2x
for
x
.
The function
f(x-1)
is obtained from
f(x)
by substituting
x-1
for
x
.
To get the graph, we go backwards. We start with the graph of f(x).
Substitute
x-1
for
x
,
y = f(x-1)
:
Substitute
2x
for
x
,
y = f(2x-1)
:
Add
1
to
y
,
y = f(2x-1)+1
: