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Transformations on exponential functions/finding asympototes

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Please help me with the algebra practice equations and with the graphs.

See the attachment for better formatting.

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2) Describe the transformations on the following graph of f(x) = e^x . State the placement of the horizontal asymptote and y-intercept after the transformation. For example, left 1 or reflected about the y-axis are descriptions.

a) g(x) = e^x + 2

Description of transformation:

Equation(s) for the Horizontal Asymptote(s):
y-intercept in (x, y) form:

b) h(x) = -e^x

Description of transformation:

Equation(s) for the Horizontal Asymptote(s):
y-intercept in (x, y) form:

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Solution Summary

This solution includes step by step detailed solution of graphing exponential functions using transformations on basic exponential function, finding asympototes and y-intercepts.

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  • BSc, Meerut University
  • MSc, Meerut University
  • MPhil, Institute of Advanced Studies
  • MSc, AIT
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