LinearTransformationWorksheet#1
Name_____________________________________________________Date___________________Period________
Describethechangeintermsoff(x) (write the rule) for thetransformation described.
1.verticaltranslation3unitsdown
1.________________________
2.verticalcompressionbyafactorof¼
2.________________________
3.horizontal translation 5 units left
3.________________________
4.reflectionacrossthex‐axis
4._________________________
5.f(x)=x+3
Translatef(x)down5units.
Writethetransformedfunctionintermsofg(x)and
thengraphbothontheright.
6.f(x)=4x‐3
Translatethegraph2upandthen2totheright.
Writethetransformedfunctionintermsofg(x)and
thengraphbothontheright.
7.f(x)=2x–3
Transformf(x)withaverticalstretchof2andthen
reflectoverthex‐axis.
Writethetransformedfunctionintermsofg(x)and
thengraphbothontheright.
8. (a) Use the graph to determine the function rule for f(x).
(b) Let g(x) be a vertical translation 2 units down of f(x).
(c) Write the function rule for g(x).
(d) Graph g(x)
(a) f(x) = ______x + _______
(b) Rule: _______________
(c) g(x) = ________________
9. (a) Use the table to determine the function rule for f(x).
(b) Let g(x) be a vertical stretch of f(x) by a factor of 2.
(a) f(x) = ______x + _______
(b) Rule: _______________
(c) g(x) = ________________
Let f ( x)  3 x  2 . Use the given function to describe the listed transformations. Then, write
the equation of the transformed function.
10.
a.
2 f ( x)
b.
f ( x)  7
c.
f ( x  2)
d. 3 f ( x )