# NA Practice U5M10L02 Modified-unlocked ```Name ________________________________________ Date __________________ Class __________________
Graphing Square Root Functions
LESSON
10-2
Practice and Problem Solving: Modified
Graph each function. The first one is done for you.
1. g ( x ) = x − 2
x
g(x)
(x, g(x))
0
0 − 2 = −2
(0, −2)
1
1 − 2 = −1
(1, −1)
4
4−2 =0
(4, 0)
9
9− 2 =1
(9, 1)
16
16 − 2 = 2
(16, 2)
a. Describe the transformation from the parent function.
Translation 2 units down.
_____________________________________________________________________________________
Domain: {x | x ≥ 0}
____________________________
b. Identify the domain and range.
Range: {y | y ≥ −2}
____________________________
2. g ( x ) = − x
a. Complete the table of values, and then graph.
x
g(x)
(x, g(x))
0
− 0 =0
(0, 0)
1
4
9
16
b. Describe the transformation from the parent function.
_____________________________________________________________________________________
c. Identify the domain and range.
____________________________
Solve.
3. Dale wants to horizontally stretch the function f ( x ) =
He writes the function f ( x ) =
x + 5 by a factor of 3.
3( x + 5). Is he correct? If not, what is the correct function?
_________________________________________________________________________________________
Original content Copyright &copy; by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.
157
```