1. The graph of the function f(x) is shown below. a) State what transformations are applied to f(x) to obtain the graph of g(x) = -f(x + ¹) +2. b) Use the graph of f(x) to sketch the graph of g(x). f(x) g(x) = -f(x+¹)+2 X

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter3: Graphing Linear Functions
Section: Chapter Questions
Problem 31CR
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1. The graph of the function f(x) is shown below.
a) State what transformations are applied to f(x) to obtain the graph of
g(x) = -f(x + ¹) +2.
b) Use the graph of f(x) to sketch the graph of g(x).
f(x)
-8 -6 -4 -2
8
6
4
2
4
6
8
y
2
4
6
8
X
g(x) = -f(x+1)+2
-8 -6 -4 -2
8
6
4
2
-2
-4
-6
8
y
2
4
6
8
X
2. Given a function f(x), find a formula for the function g(x) where the graph of g(x) is
obtained from the graph of f(x) by first stretching vertically by a factor of 2, then
reflecting horizontally across the y -axis, then shifted 3 units to the left, and finally
shifted down by 1 unit.
Transcribed Image Text:1. The graph of the function f(x) is shown below. a) State what transformations are applied to f(x) to obtain the graph of g(x) = -f(x + ¹) +2. b) Use the graph of f(x) to sketch the graph of g(x). f(x) -8 -6 -4 -2 8 6 4 2 4 6 8 y 2 4 6 8 X g(x) = -f(x+1)+2 -8 -6 -4 -2 8 6 4 2 -2 -4 -6 8 y 2 4 6 8 X 2. Given a function f(x), find a formula for the function g(x) where the graph of g(x) is obtained from the graph of f(x) by first stretching vertically by a factor of 2, then reflecting horizontally across the y -axis, then shifted 3 units to the left, and finally shifted down by 1 unit.
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