anonymous
  • anonymous
The function f(x) passes through the point (-3, 3). If g(x)=f(x-3)+4, then which one of these points, if any, must lie on the graph of g(x)?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
\[x-3=-3\\ x=0\]
anonymous
  • anonymous
so if \[f(-3)=3\] then \[g(0)=f(0-3)+4=3+4\]
anonymous
  • anonymous
wow thats a lot to process ok so then what

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anonymous
  • anonymous
add \(3+4\)
anonymous
  • anonymous
it does look confusing, but one thing that should not be confusing is that if \[(-3,3)\] is on the graph of \(f\) then that measn \[f(-3)=3\] right?
anonymous
  • anonymous
okay so that means it equals 7.. what then
anonymous
  • anonymous
lets back up
anonymous
  • anonymous
\[g(x)=f(x-3)+4\]
anonymous
  • anonymous
you only know what \(f(-3)\) is
anonymous
  • anonymous
so the only way to know a value for \(g\) is if the input is \(-3\) which will be the case if \(x=0\) since \[0-3=-3\]
anonymous
  • anonymous
if \(x=0\) then \(g(0)=f(0-3)+4=f(-3)+4=7\)
anonymous
  • anonymous
that means, on the graph of \(g\) is the point \((0,7)\)
anonymous
  • anonymous
okay so how would you do this next one.. i kinda understand. the function f(x) passes through (4,-2). If g(x)=-f(x), which one of these points must lie on graph of g(x)
anonymous
  • anonymous
so if \(f(4)=-2\) the \(g(4)=-f(4)=-(-2)=2\)
anonymous
  • anonymous
which is a long winded way of saying if \((4,-2)\) is on the graph of \(f\) then \((4,2)\) is on the graph of \(-f\)
anonymous
  • anonymous
wow you are a god. okay ill probably have another question soon dont leave meh
anonymous
  • anonymous
ok dear i will stay
anonymous
  • anonymous
not a god however, just a satellite

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