C H A P T E R 2 Polynomial and Rational Functions

Review Exercises for Chapter 2
1. (a) (b) y 2x2 y 2x2 (a)
Review Exercises for Chapter 2 237
Vertical stretch Vertical stretch and a reflection in the x-axis
(c) (d) y x 22 y x2 2
2. (a)
(c)
4
3
2
−4 −3 −2 −1 1 2 3 4
−1
−2
−3
−4
Vertical shift two units upward Horizontal shift two units to the left
4
3
1
−4 −3 −2 −1 1 2 3 4
−1
−2
−3
−4
y
y
x
x
y x 2 4 (b)
Vertical shift four units downward
y
3
2
−4 −3 −1
−1
−2
−5
y x 3 2
1 3 4
Horizontal shift three units to the right
5
4
3
2
1
−3 −2 −1
−1
−2
−3
y
1 2 3 4 5
x
x
4
3
2
1
−4 −3 −2 −1 1 2 3 4
(d)
−3
−4
y
4
1
−4 −3 −2 −1 1 2 3 4
−1
−2
−3
−4
y 4 x 2
y
Reflection in the x-axis and a vertical shift
four units upward
5
3
2
1
−4 −3 −1
−1
−2
−3
y 1
2 x 2 1
y
x
1 3 4
Vertical shrink (each y-value is multiplied by
and a vertical shift one unit downward
−4 −3 −2
4
3
2
1
−2
−3
−4
y
2 3 4
x
x
x
1
2,