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-Dominant- [34]
3 years ago
8

Which function represents the graph of f(x)=|2x| after it is translated 5 units to the left?

Mathematics
2 answers:
Mashutka [201]3 years ago
5 0
As you need to translate to the left this is an horizontal translation so you have to replace f(x) by f(x-h) and when h is less than 0 the graph shifts left, it mean h is negative. So for this problem g(x)= Ι2(x--5)Ι  then g(x) = Ι2(x+5)Ι
Alisiya [41]3 years ago
4 0

Answer:

<u>The answer is the option B</u>

g\left(x\right)=\left|2(x+5)\right|

Step-by-step explanation:

we know that

The function f\left(x\right)=\left|2x\right|

has the vertex  at point (0,0)

The rule of the translation is

(x,y)-----> (x-5,y)

The translation of the point (0,0) is equal to

(0,0)-----> (0-5,0)

(0,0)-----> (-5,0)

so

The function g(x) has the vertex at point (-5,0)

therefore

the function g(x) is equal to

g\left(x\right)=\left|2(x+5)\right|


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