Math 220 Worksheet 2
Transformations & Compositions - Section 1.3
1. The graphs below show how to sketch y=โโ4โx+ 3 without a calculator by using graph transformations. On the
first graph, label the point (1,1). Then, show where this point is moved under each transformation and label the new
coordinates.
โ4โ22 4
2
4
x
y
โ4โ22 4
2
4
x
y
โ4โ22 4
2
4
x
y
y=โx y =โโx y =โ4โx
โ4โ22 4
โ4
โ2
x
y
โ4โ22 4
2
4
x
y
y=โโ4โx y =โโ4โx+ 3
2. Use transformations to sketch the graph of the function y=โ1
2|x+ 2|+ 3. Describe the transformations in words.
