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What type of transformation takes the graph of f(x)=|x| to the graph of g(x)=|4+x|?

vertical translation of 4 units up

horizontal translation of 4 units left

horizontal translation of 4 units right

vertical translation of 4 units down

Verified Answer :

Abu99

translation to the left by 4 units

Answer:

horizontal translation  of 4 units left

Step-by-step explanation:

the graph of f(x)=|x| to the graph of g(x)=|4+x|

In g(x) , 4 is added with x

The rule of transformation is

f(x) -> f(x-a), horizontal translation  of 'a' units right

f(x) -> f(x+a), horizontal translation  of 'a' units left

f(x) -> f(x)+a, Vertical translation  of 'a' units up

f(x) -> f(x)-a, Vertical translation  of 'a' units down

When we compare f(x) and g(x), 4 is added with x

f(x) -> f(x+a), horizontal translation  of 'a' units left

So its a horizontal translation  of 4 units left

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