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Hunter-Best [27]
2 years ago
10

What transformation takes the graph of f(x)=3x+8 to the graph of g(x)=3x+6 ?

Mathematics
2 answers:
adoni [48]2 years ago
6 0

Answer:

D. Translation 2 units down.

Step-by-step explanation:

We have been given a transformation rule and we are asked to find the transformation rule.

Let us recall the transformation rule.

f(x)\rightarrow f(x-a)=\text{Graph shifted to right by a units}

f(x)\rightarrow f(x+a)=\text{Graph shifted to left by a units}

f(x)\rightarrow f(x)-a=\text{Graph shifted downwards by a units}

f(x)\rightarrow f(x)+a=\text{Graph shifted upwards by a units}

Upon looking at our given transformation, we can see that f(x)=3x+8 is shifted downwards by 2 units to get graph of g(x) as:

g(x)=(3x)+8-2

g(x)=3x+6

Therefore, option D is the correct choice.

Nostrana [21]2 years ago
3 0

Answer:

Translation 2 units downward

Step-by-step explanation:

If we start with the graph of f(x) = 3x + 8 and translate it 2 units downward, we'll end up with the graph of g(x) = 3x + 6.  Note:  8 - 2 = 6.


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