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Tresset [83]
2 years ago
13

If you shift the exponential parent function, f(x) = 2^x , right 2 units, what is the equation of the new function?

Mathematics
2 answers:
anyanavicka [17]2 years ago
7 0

We know the rule for shifting right(x is changed)

  • f(x) —» f(x-a)

So

here

For a =2

  • f(x-2)
  • \sf 2^{x-2}
aev [14]2 years ago
6 0

Answer:

g(x)=2^{x-2}

Step-by-step explanation:

<u>Translations</u>

For a > 0

f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}

f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}

f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}

f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}

Parent function:  f(x)=2^x

Translated 2 units right:  g(x)=f(x-2)=2^{x-2}

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