The function f(x) after the transformations would be:
[tex]-6f(x-1)-2[/tex]This comes from the following facts:
Suppose c>0. to obtain the graph of:
• f(x)+c, shift the graph of f(x) c units upward.
,• f(x)-c, shift the graph of f(x) c units downward.
,• f(x-c), shift the graph of f(x) c units to the right.
,• f(x+c), shift the graph of f(x) c units to the left.
Suppose c>1. to obtain the graph of:
cf(x), stretch the graph of f(x) by a factor of c.
(1/c)f(x), shrink the graph of f(x) by a factor of c.
f(x/c), stretch the graph horizontally of f(x) by a factor of c.
f(cx), shrink the graph horizontally of f(x) by a factor of c.
-f(x)
