3. Consider the graph of the function y = f(x) given below: 5 4. -3 2 1- -5 -4 -3 -2 -1 1 2 3 4 6 -1 -2 -3 -4 (a) Consider the transformation 2f(-x + 1) – 3. Write at least one sentence to explain the effect of transformation on the original function. (b) Show algebraically how we can "follow" the given point on the original graph to its corresponding point on the transformed graph. (-5, 5) (-2, 2) (0,0) (3, –1) (c) Sketch an accurate graph of the transformed function 2f(-x+1) – 3. 6

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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3. Consider the graph of the function y = f(x) given below:
5
4.
-3
2
1-
-5
-4
-3
-2
-1
1
2
3
4
6
-1
-2
-3
-4
(a) Consider the transformation 2f(-x + 1) – 3. Write at least one sentence to explain the effect of transformation on
the original function.
(b) Show algebraically how we can "follow" the given point on the original graph to its corresponding point on the
transformed graph.
(-5, 5)
(-2, 2)
(0,0)
(3, –1)
(c) Sketch an accurate graph of the transformed function 2f(-x+1) – 3.
6
Transcribed Image Text:3. Consider the graph of the function y = f(x) given below: 5 4. -3 2 1- -5 -4 -3 -2 -1 1 2 3 4 6 -1 -2 -3 -4 (a) Consider the transformation 2f(-x + 1) – 3. Write at least one sentence to explain the effect of transformation on the original function. (b) Show algebraically how we can "follow" the given point on the original graph to its corresponding point on the transformed graph. (-5, 5) (-2, 2) (0,0) (3, –1) (c) Sketch an accurate graph of the transformed function 2f(-x+1) – 3. 6
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