anonymous
  • anonymous
The graph of f(x) = 2^x + 4 shifts six units to the right when it is replaced with the graph of f(x) = 2^x - k. What is the value of k?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
2 4 6 10
anonymous
  • anonymous
@jim_thompson5910 do you think you could help?
jim_thompson5910
  • jim_thompson5910
the x+4 is all in the exponent?

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More answers

anonymous
  • anonymous
yep
jim_thompson5910
  • jim_thompson5910
so is x-k ?
anonymous
  • anonymous
yep
jim_thompson5910
  • jim_thompson5910
to shift f(x) 6 units to the left, we replace every x with x+6
anonymous
  • anonymous
ok
anonymous
  • anonymous
so it would be x+6+4?
jim_thompson5910
  • jim_thompson5910
Correct \[\Large f(x) = 2^{x+4}\] \[\Large f(x+6) = 2^{x+6+4}\]
jim_thompson5910
  • jim_thompson5910
simplify x+6+4 and compare it to x-k to figure out what k would be
anonymous
  • anonymous
so it'll be x+10
anonymous
  • anonymous
so k=10?
jim_thompson5910
  • jim_thompson5910
x+10 x-k k = ???
jim_thompson5910
  • jim_thompson5910
it might help to rewrite x+10 as x-(-10)
anonymous
  • anonymous
im confused
anonymous
  • anonymous
wait would it be 10-k?
jim_thompson5910
  • jim_thompson5910
\[\Large x + 10\\ \Large x - (-10)\\ \Large x - (\color{red}{-10})\\ \Large x - \color{red}{k} \] So k = -10
anonymous
  • anonymous
but there isnt a -10 as an answer
jim_thompson5910
  • jim_thompson5910
oh I went the wrong direction. It's to the right, so x gets replaced with x-6
anonymous
  • anonymous
so it would be x+2?
jim_thompson5910
  • jim_thompson5910
f(x) = 2^(x+4) f(x-6) = 2^(x-6+4) f(x-6) = 2^(x-2) so k = 2
jim_thompson5910
  • jim_thompson5910
x-2 actually
anonymous
  • anonymous
thank you
anonymous
  • anonymous
i got it right :D
anonymous
  • anonymous
thank you so much
jim_thompson5910
  • jim_thompson5910
np

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