Answer
a. $f(x) + 3$
b. $f(x) - 3$
c. $f(x-3)$
d. $f(x+3)$
e. $-f(x)$
f. $f(-x)$
g. $3f(x)$
h. $\frac{f(x)}{3}$
i. $f(3x)$
j. $f(\frac{1}{3} x)$
Work Step by Step
a. Up 3 units
$f(x) + 3$
b. Down 3 units
$f(x) - 3$
c. Right 3 units
$f(x-3)$
d. Left 3 units
$f(x+3)$
e. Reflect x-axis
$-f(x)$
f. Reflect y-axis
$f(-x)$
g. Stretch Vertically by 3
$3f(x)$
h. Stretch vertically by 1/3
$\frac{f(x)}{3}$
i. Shrink Horizontally by 1/3
$f(3x)$
Note: Horizontal is 1 over the factor within f(x), so 1/(1/3) is 3
j. Stretch horizontally by 3
$f(\frac{1}{3} x)$
