matthewcallahan0116 matthewcallahan0116
  • 06-07-2020
  • Mathematics
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Use the graph of f to describe the transformation that results in the graph of g. f(x) = log x; g(x) =

Use the graph of f to describe the transformation that results in the graph of g fx log x gx class=

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leena
leena leena
  • 06-07-2020

Hey there!

Answer:

2nd choice, The graph of g(x) is the graph of f(x) reflected in the x-axis, expanded vertically by a factor of 5, and translated 8 unit(s) down.

Step-by-step explanation:

Recall that the transformation form of a logarithmic function is:

y = ±alog(b(x-h))+k

Given g(x) = -5logx-8:

Negative in front of equation: reflection over the x-axis

'a' value of 5: expanded vertically by a factor of 5

'k' value of -8: translated 8 unit(s) down.

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