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 © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor. 157