iven k (x) = 3 (x + 3)² -2, perform the following. Part: 0/3 Part 1 of 3 (a) Identify the power function of the form y = x* that is the parent function to the given graph. The parent function for (x) = 3(x+3)³ - 2 is the power function y = 2. Part: 1/3 Part 2 of 3 (b) Outline the transformations that would be required on the graph of y=x² to make the graph of k(x) = 3(x + 3)³ – 2. Check all that apply. O Shift to the right 3 units O Shift to the left 3 units O Horizontally shrink by a factor of 3 O Horizontally stretch by a factor of 3 Vertically shrink by a factor of 3 O Vertically stretch by a factor of 3 O Reflect across the X-axis O Reflect across the y-axis Shift upward 2 units O Shift downward 2 units

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 35E
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Part 3 of 3
(c) Match the function with its graph.
Choose the correct graph of k (x) = 3(x+3) -2.
4.
O A
OB
Transcribed Image Text:Part 3 of 3 (c) Match the function with its graph. Choose the correct graph of k (x) = 3(x+3) -2. 4. O A OB
Given k (x) = 3 (x+3) - 2, perform the following.
Part: 0 /3
Part 1 of 3
(a) Identify the power function of the form y =x that is the parent function to the given graph.
The parent function for * (x) = 3(x+3) -2 is the power function y = 2].
Part: 1 /3
Part 2 of 3
(b) Outline the transformations that would be required on the graph of y =x to make the graph of k (x) = 3 (x+3) - 2.
Check all that apply.
O Shift to the right 3 units
O Shift to the left 3 units
O Horizontally shrink by a factor of 3
O Horizontally stretch by a factor of 3
O Vertically shrink by a factor of 3
O Vertically stretch by a factor of 3
O Reflect across the X-axis
O Reflect across the y-axis
O Shift upward 2 units
O Shift downward 2 units
Transcribed Image Text:Given k (x) = 3 (x+3) - 2, perform the following. Part: 0 /3 Part 1 of 3 (a) Identify the power function of the form y =x that is the parent function to the given graph. The parent function for * (x) = 3(x+3) -2 is the power function y = 2]. Part: 1 /3 Part 2 of 3 (b) Outline the transformations that would be required on the graph of y =x to make the graph of k (x) = 3 (x+3) - 2. Check all that apply. O Shift to the right 3 units O Shift to the left 3 units O Horizontally shrink by a factor of 3 O Horizontally stretch by a factor of 3 O Vertically shrink by a factor of 3 O Vertically stretch by a factor of 3 O Reflect across the X-axis O Reflect across the y-axis O Shift upward 2 units O Shift downward 2 units
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