Asap 1. The graph of the function f(x) is shown below.a) State what transformations are applied to f(x) to obtain the graph ofg(x) = -f(x + ¹) +2.b) Use the graph of f(x) to sketch the graph of g(x).f(x)-8 -6 -4 -28642468y2468Xg(x) = -f(x+1)+2-8 -6 -4 -28642-2-4-68y2468X2. Given a function f(x), find a formula for the function g(x) where the graph of g(x) isobtained from the graph of f(x) by first stretching vertically by a factor of 2, thenreflecting horizontally across the y -axis, then shifted 3 units to the left, and finallyshifted down by 1 unit.

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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) g(x) = -f(x+¹)+2 X

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

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section6.2: Graphs Of Exponential Functions

Problem 2SE: What is the advantage of knowing how to recognizetransformations of the graph of a parent...

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Question

Asap

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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Step 1: Analysis and Introduction.

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Step 2: State the transformation on part a).

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Step 3: Draw the graph of b)

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