Answers Elimination 2.pdf - Swampscott High School

NAME CLASS DATE
Practice Masters Level B
2.7 A Preview of Transformations
Identify each transformation from the parent function ƒ(x) x 3 to g.
1.
2.
3.
4.
g(x) x 3 2
g(x) (x 2) 3
g(x) (4x 3 )
g(x) x 3 1
5.
6.
g(x) 1 3 x3
g(x) 2 x 1 2 3
Identify each transformation from the parent function ƒ(x) x to g.
7.
8.
9.
g(x) x 4
g(x) (5x)
g(x) 1 2 x
10.
11.
12.
g(x) x 2
g(x) x 3
g(x) x 2 4
Write the function for each graph described below.
13. the graph of ƒ(x) x 3 reflected across the y-axis
14. the graph of ƒ(x) x 2 translated horizontally 5 units to the left
15. the graph of ƒ(x) x stretched vertically by a factor of 4
16. the graph of ƒ(x) x 3 stretched horizontally by a factor of 5
Copyright © by Holt, Rinehart and Winston. All rights reserved.
1
3
17. the graph of f(x) x 9 reflected across the y-axis
18. the graph of 2x stretched vertically by a factor of 1 2
44 Practice Masters Levels A, B, and C Algebra 2

Answers
Copyright © by Holt, Rinehart and Winston. All rights reserved.
3.
4. 4
5. 3.2
6. 729
7. 3.8
8.
9. a.
m [x]
b.
Lesson 2.7
Level A
10
8
6
4
1. vertical translation 2 units up
2. vertical stretch by a factor of 3
3. reflection across x-axis
4. reflection across x-axis and vertical
stretch by a factor of 6
5. horizontal translation 5 units to the right
6. vertical translation 2 units up, reflection
across x-axis, vertical stretch by a factor
of 3
7. vertical translation 3 units up
8. reflection across x-axis
y
10864
2
2
4
6
8
10
2
4 6 8 10
$550, $1000, $854.25, $1275
100 4.5b if b 200
c 4.25b if b 200
9. horizontal compression by a factor of
10. vertical translation 6 units down, vertical
stretch by a factor of 2
x
1
6
1
11. vertical compression by a factor of
2
12. horizontal translation 2 units right
13. g(x) x 2
14.
15.
16.
17.
18.
g(x) x 2
g(x) x 4 5
g(x) 1 3 x
g(x) x 3 3
g(x) (x 4) 2
Lesson 2.7
Level B
1. vertical translation 2 units down
2. horizontal translation 2 units right
3. horizontal compression by and
4
reflection across x-axis
4. reflection about x-axis, vertical
translation 1 unit up
5. vertical compression by a factor of
6. vertical stretch by a factor of 2,
horizontal translation unit to right
7. vertical translation 4 units up
8. horizontal stretch by a factor of
9. vertical compression by a factor of
10. reflection across x-axis, vertical
translation 2 units down
11. horizontal translation 3 units right
1
2
1
1
5
1
3
1
2
Algebra 2 Practice Masters Levels A, B, and C 303

Answers
12. horizontal translation 2 units right,
vertical translation 4 units up
13.
14.
15.
f(x) (x) 3
f(x) (x 5) 2
f(x) 4x
14. f(x) 1 (x 4)
2
15. f(x) 2(x 10)
16. f(x) 3(x 6)
16.
f(x) 1 5 x
17.
18.
g(x) 1
3 x 1
g(x) 1 2 2x
Lesson 2.7
Level C
1. horizontal translation 2 units left
2. horizontal translation 2 units right
3. horizontal translation 1 unit left,
reflected across x-axis
4. vertical translation 2 units up, horizontal
translation 3 units right
5. vertical stretch by a factor of 3
6. horizontal compression by a factor of
7. horizontal translation 3 units right
8. vertical stretch by a factor of 2
1
9. horizontal compression by a factor of
2
10. vertical translation 2 units up
11. reflection across y-axis
12. reflection across x-axis and y-axis
13. f(x) (x) 5
1
3
Copyright © by Holt, Rinehart and Winston. All rights reserved.
304 Practice Masters Levels A, B, and C Algebra 2