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2) Describe the transformations on the following graph of f (x) = e' . State the placement of the horizontal asymptote and y-intercept after the transformation, For example, horizontal shift to the...

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2) Describe the transformations on the following graph of f (x) = e' . State the placement of the horizontal asymptote and y-intercept after the transformation, For example, horizontal shift to the left I or reflected about the y-axis are descriptions.
Graph of f (x) = ex
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a) g(x) = e + 2
Description of transformation
Equation(s) for the Horizontal Asymptote(s):
y-intercept in (x, y) form:
b) h(x) = —e
Description of transformation: Equation(s) for the Horizontal Asymptote(s): y-intercept in (x,y) form
Answered Same Day Dec 22, 2021

Solution

Robert answered on Dec 22 2021
130 Votes
a) g(x)=
Description of the transformation: Vertical shift upwards by 2
units. (i.e. all points in the graph of is moved upwards by 2
units)
Horizontal asymptote: As x-> g(x) also increases to , hence
does not exist. But as x->- ,
decreases to 0.
Hence
= 0....
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