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adelina 88 [10]
3 years ago
15

Which best describes the graph of f(x) = log2(x + 3) + 2 as a transformation of the graph of g(x) = log2x?

Mathematics
2 answers:
dlinn [17]3 years ago
7 0

3 units left

2 units up

monitta3 years ago
7 0

Answer:

3 unit left and 2 unit up.

Step-by-step explanation:

Given : f(x)= \log_2(x + 3)+2 as a transformation of the graph of g(x) = \log_2x

To find : Which best describes the graph transformation?

Solution :

The parent function g(x)=\log_2x

with the vertex (1,0)

And the graph of f(x)=\log_2(x + 3)+2  

with the vertex (-2.75,0)

The graph of f(x) is the translation of g(x)

Transformation to the left,

f(x)→f(x+b) , the graph of f(x) is shifted towards left by b unit.

Same as the graph g(x) is shifted towards left by 3 unit and form graph of f(x).

f(x)= \log_2(x + 3)

Transformation towards up,

f(x)→f(x)+a , the graph of f(x) is shifted upward by a unit.

Same as the graph g(x) is shifted upward by 2 unit and form graph of f(x).

f(x)= \log_2(x + 3)+2

Therefore, The description of the transformation is 3 unit left and 2 unit up.

Refer the attached graph below.  

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