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The graph of f(x) = (0.5)x is replaced by the graph of g(x) = (0.5)x − k. If g(x) is obtained by shifting f(x) down by 2 units, the value of k is ________. Numerical Answers Expected!

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JeanaShupp

Answer: The value of k is 2.


Step-by-step explanation:

Given : The graph of [tex]f(x)=(0.5)x[/tex] is replaced by the graph of [tex]g(x)=0.5)x-k.[/tex]

If g(x) is obtained by shifting f(x) down by 2 units, then [tex]g(x)=(0.5)-2[/tex]

[since f(x)shifted down down by 2 , so only the value of dependent variable effect]

When we compare both functions of g(x), we found that k=2.

Hence, the value of k is 2.

The value of [tex]k[/tex] is 2.

The following information should be considered:

  • when [tex]g(x)[/tex] is obtained by shifting f(x) fall by 2 units so [tex]g(x) = (0.5) - 2.[/tex]
  • Since [tex]f(x)[/tex] shifted down by 2 so there is the effect on the dependent variable.
  • Now at the time of comparing both functions of g(x) the k should be 2.

Learn more: brainly.com/question/17429689

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