
2-26 Calculus – Differentiation and Integration
Now, we can easily draw this function by shifting the basic function y = x
2
to the left by 1/2 units and
then the resulting function to down by 9/2 units.
-5 -4 -3 -2 -1 1 2 3
y
x
9
8
7
6
5
4
3
2
1
-1
-2
-3
-4
-5
Figure 2.26
Example 2.20 Draw the graph of each of the following functions:
a.
y x= −3,
b. y = |x - 2|.
Solution:
a. We obtain the required graph by shifting the basic graph y x= to the right by 3 units
horizontally.
1 2 3 4 5 6 7 8 9 10 11 12
3.5
3
2.5
2
1.5
1
0.5
y
x
Figure 2.27