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

238 Chapter 2 Polynomial and Rational Functions
3. gx x2 2x
5.
7.
Vertex:
x 2 2x 1 1
x 1 2 1
1, 1
Axis of symmetry:
x 1
0 x 2 2x xx 2
x-intercepts: 0, 0, 2, 0
Vertex:
−3 −2
x 2 8x 16 16 10
x 4 2 6
Axis of symmetry:
x 4 2 6
4, 6
x 4 ±6
x 4 ± 6
x 4
0 x 4 2 6
x-intercepts: 4 ± 6, 0
7
6
5
4
3
−1
−1
−2
y
−8 −4
1
2 3 4 5 6
2
−2
−4
−6
y
2
x
x
4. fx 6x x2 Vertex:
x 2 6x 9 9
x 3 2 9
3, 9
Axis of symmetry:
x 3
0 6x x 2 x6 x
x-intercepts: 0, 0, 6, 0
f x x2 8x 10 6. hx 3 4x x2 Vertex:
Axis of symmetry:
6
t-intercepts: 1 ± , 0 2
Vertex:
Axis of symmetry:
0 3 4x x 2
0 x 2 4x 3
x 2 4x 3
x 2 2 7
x 2 2 7
2, 7
4 ± 28
2
x 2
2 ± 7
x-intercepts: 2 ± 7, 0
10
8
6
4
2
−2
−2
x 2 4x 4 4 3
x 4 ± 42 413
21
ft 2t2 4t 1 8. f x x2 8x 12
2t 2 2t 1 1 1
2t 1 2 1 1
2t 1 2 3
1, 3
2t 1 2 3
0 2t 1 2 3
t 1 ± 3
2
t 1 ± 6
2
t 1
6
5
4
3
2
1
y
−3 −2 −1 1 2 3 4 5 6
t
x 2 8x 16 16 12
x 4 2 4
Vertex: 4, 4
Axis of symmetry:
0 x 2 8x 12
0 x 2x 6
x 4
x-intercepts: 2, 0, 6, 0
−2
8
6
4
2
−2
−2
−4
y
10
8
6
4
2
y
y
2 4 8 10
2 4 6 8 10
4 8
10
x
x
x