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kobusy [5.1K]
3 years ago
10

Let f(x)=3x and g(x)=3x−3+2 .

Mathematics
2 answers:
Leokris [45]3 years ago
8 0
Horizontal Translation of 3 units to the right

Vertical Translation of 2 units up

butalik [34]3 years ago
3 0

Answer:

Transformations: Shifted down by 3 units.

                             Then Shifted up by 2 units.

Step-by-step explanation:

Let the parent function be f(x) = 3x

Now shift the parent graph down by 3 units

Rule : f(x)→f(x)-b

The graph f(x) shifted down by b units

So, According to rule  f(x)→f(x)-3

So, new function  becomes: f'(x)=3x-3

Now we are supposed to shift the graph 2 units up

Rule : f(x)→f(x)+b

The graph f(x) shifted up by b units

So, According to rule  f'(x)→f'(x)+2

So, the new function is g(x) = 3x-3+2

Thus the graph of f(x) shifted down by 3 units then shifted up by 2 units to obtain the graph g(x).

Transformations: Shifted down by 3 units.

                             Then Shifted up by 2 units.

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