itsmefrommars itsmefrommars
  • 07-05-2021
  • Mathematics
contestada

The graph of g(x) = f(x+4) is the graph of f(x) moved 4 units________​

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ivycoveredwalls
ivycoveredwalls ivycoveredwalls
  • 08-05-2021

Answer:

to the left

Step-by-step explanation:

This looks backwards to some, but it's correct: replacing  x  with  x + 4  in a function moves the graph 4 units to the left.

The reason?

Just suppose that f(6) = 7.  To get f(x + 4) to equal 7, you have to use 2 as a value for  x,  4 units less than the 6 that was used before.

See attached image for an example.

[tex]y=x^2[/tex]  is the black graph

[tex]y=(x+4)^2[/tex]  is the red graph

Answer Link

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