Name ___________________________________
Date _______________
Period _______
1.5 Day 1: Transformations and Parent Functions Homework
1) Use the graph of f to sketch each graph:
Use different color pencils/pens and label each graph.
(a) y = f ( x) + 2
(b) y = f ( x − 2)
(c ) y = 2 f ( x )
(d ) y = − f ( x)
(e) y = f ( x + 3)
( f ) y = f (− x)
( g ) y = f ( 12 x)
2) Describe the transformation(s).
a)
b)
c)
d)
e)
f)
g)
For Problems 2-5, (A) Identify the parent function. B) Describe Transformation(s),
C) Domain & Range, D) End Behavior E) Increasing/Decreasing Intervals F) GRAPH
2. 𝑓(𝑥) = 3| 𝑥 + 1 | − 2
3. 𝑓(𝑥) = – 2(𝑥 − 2)2 + 3
A)______________________________
A______________________________
B) ______________________________
B) _____________________________
C) ______________________________
C) _____________________________
D) ______________________________
D) _____________________________
E) ______________________________
E) ______________________________
F)
F)
1
4. 𝑓(𝑥) = |3 𝑥|
5. 𝑓(𝑥) =
1
2
(𝑥 + 3)2 − 4
A)______________________________
A______________________________
B) ______________________________
B) _____________________________
C) ______________________________
C) _____________________________
D) ______________________________
D) _____________________________
E) ______________________________
E) ______________________________
F)
F)