# 10-2 Graphing Square Roots practice

```Name _______________________________________ Date __________________ Class __________________
10-2 Graphing Square Roots
Describe the transformations of g ( x ) from the parent function.
Tell the endpoint and give either a or b, then sketch the graph on your own graph paper.
Parent Function
f (x )  x .
2. g ( x )  2( x  4)  1
1. g ( x )   x  5  3
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3. g ( x )  
________________________________________
1
x 6
3
4. g ( x )  0.4 x  8  10
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Original content Copyright &copy; by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.
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Name _______________________________________ Date __________________ Class __________________
3.
x x  6;
f 1( x )  x  6;
x
f 1(f ( x )) 
2

6 6
 x2
x
4.
x x  2;
f 1( x )  x  2;
f 1(f ( x )) 
x
2

2 2
 x2
x
Reteach 10-2
1. Reflect across x-axis; horizontal shift
right 5 units; vertical shift up 3 units
1
2. Horizontal shrink by ; horizontal shift
2
left 4 units; vertical shift up 1 unit
3. Reflect across y-axis; horizontal stretch
by 3; vertical shift down 6 units
4. Vertical compression by 0.4; horizontal shift left 8 units; vertical shift down
10 units
Reteach 10-3
1. f ( x )  3 3 x  2  2
2. f ( x )  3
1
 x  3  2
2
Original content Copyright &copy; by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.
115
Name _______________________________________ Date __________________ Class __________________
3. f ( x )  2 3 x  1  2
Reteach 11-1
1. 125
2. 9
3. 7776
4. 48.5
5. 3
6. 49
1
7.
8
8. 32
Reteach 11-2
5
1. 243a 3
4
2. 4b 5
1
3. 9x 2
4.
1
x6
5.
5
y
1
6. z 5
Reteach 11-3
1. x  19
2. x  1
3. x  3 ( x  3 is extraneous)
4. x  10
5. x  1 ( x  4 is extraneous)
6. x 
9
5
Reteach 12-1
1. No
2. Yes; d 2; f(n)  14  (2)(n  1)
3. No
4. f(1) 5, f(n) f(n  1)  5, for n  2;
f(n) 5  5(n  1)
5. f(1)  7, f(n) f(n  1)  (3), for n  2;
f(n)  7  (3)(n  1)
6. f(1)  4, f(n) f(n  1)  3, for n  2;
Original content Copyright &copy; by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.
116
Name _______________________________________ Date __________________ Class __________________
f(n)  4  3(n  1)
7. 6, 9, 12
Original content Copyright &copy; by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.
117
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