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

9. (a)
(c)
10. (a)
(c)
y 1
2 x2 (b)
Vertical shrink
y 3
2 x2
5
4
3
2
1
−3 −2 −1 1 2 3
−1
5
4
3
2
1
−3 −2 −1 1 2 3
−1
Vertical stretch
y x 2 1 (b)
5
4
3
2
−3 −2 −1 1 2 3
−1
Vertical translation one unit upward
y x 2 3
10
8
6
−6 −4 −2 2 4 6
−2
y
y
y
y
Vertical translation three units upward
x
x
x
x
Section 2.1 Quadratic Functions and Models 137
(d)
(d)
y 1
8 x2
Vertical shrink and reflection in the x-axis
y 3x 2
6
4
2
−6 −4 4 6
−2
−4
−6
6
4
2
−6 −4 −2 2 4 6
Vertical stretch and reflection in the x-axis
y x 2 1
4
3
2
1
−3 −2 2 3
−2
Vertical translation one unit downward
y x 2 3
8
6
4
−6 –4 4 6
−4
y
y
y
y
Vertical translation three units downward
x
x
x
x