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Which function represents a horizontal shift of f(x)=5^x by 4 units to the right?

User Safareli
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2 Answers

2 votes

Answer:
g(x)=5^(x-4)

Explanation:

When a function f(x) is shifted horizontally by n units to the right , the new function will become :-


g(x)=f(x-n)

The given function :
f(x)=5^x

Now, if the given function shifted 4 units to the right , then the new function will become :


g(x)=f(x-4)


g(x)=5^(x-4)

Hence, the function represents a horizontal shift of
f(x)=5^x by 4 units to the right will be :-


g(x)=5^(x-4)

User Pavel Polyakov
by
8.0k points
3 votes
If you have a function y = f(x), the transformation along the x-axis is given by:

y = f(x+a) ⇒ This is the translation to the LEFT by 'a' units
y = f(x-a) ⇒ This is the translation to the RIGHT by 'a' units

So you have, f(x) = 5ˣ, translated 4 unit right will give g(x) = 5⁽ˣ⁻⁴⁾
Which function represents a horizontal shift of f(x)=5^x by 4 units to the right?-example-1
User Swatkat
by
8.3k points

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