Question

Which answer describes the transformation of f(x)=log2(x−5)−2 from the parent function g(x)=log2x ? A) It is the graph of g(x) shifted 5 units left and 2 units down. B) It is the graph of g(x) shifted 5 units right and 2 units down. C) It is the graph of g(x) shifted 2 units right and 5 units down. D) It is the graph of g(x) shifted 2 units left and 5 units down.

Answer 1

B, 5 units right and 2 units down

Explanation:

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Answer 2

It is the graph of g(x) shifted 5 units right and 2 units down.

Explanation:

Given : f(x)=log_2(x−5)−2

the parent function g(x)=log_2(x)

To get f(x) , 5 is subtracted from x

If we add any number with x then we shift left

If we subtract any number from x then we shift right

Here 5 is subtracted from x , so we shift 5 units right

Also -2 at the end

If we add any number at the end , then we shift up

if we subtract any number at the end , then we shift down

Here 2 is subtracted at the end , so we shift 2 units down

It is the graph of g(x) shifted 5 units right and 2 units down.