2. Given the parent function f(x) = Vxand the transformed function g(x) =- 2/x+1+4: 10 -8 4 -8 6 -4 -2 8 10 12 14 16 18 20 -2 a. The graph above shows the parent function and the transformed function. Which colour is the parent function and which is the transformed function? How do you know? b. List the transformations applied to the parent function. Use proper terminology. c. State the domain and range of g(x). Be sure to show/explain how you know the domain and range.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.2: Transformations Of Quadratic Functions
Problem 49PFA
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2. Given the parent function f(x) = Vx and the transformed function g(x) =- 2/x+1+4:
10
8
-6
8
10
12
16
18
20
a. The graph above shows the parent function and the transformed function. Which colour is the parent
function and which is the transformed function? How do you know?
b. List the transformations applied to the parent function. Use proper terminology.
c. State the domain and range of g(x). Be sure to show/explain how you know the domain and range.
d. Evaluate g(35)
e. Give the mapping rule of g(x)
f. Complete the table using the mapping rule
f(x)
g(x)
1
1
4
2
9
5
25
Transcribed Image Text:2. Given the parent function f(x) = Vx and the transformed function g(x) =- 2/x+1+4: 10 8 -6 8 10 12 16 18 20 a. The graph above shows the parent function and the transformed function. Which colour is the parent function and which is the transformed function? How do you know? b. List the transformations applied to the parent function. Use proper terminology. c. State the domain and range of g(x). Be sure to show/explain how you know the domain and range. d. Evaluate g(35) e. Give the mapping rule of g(x) f. Complete the table using the mapping rule f(x) g(x) 1 1 4 2 9 5 25
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