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Given that the point (8, 3) lies on the graph of g(x) = log2x, which point lies on the graph of f(x) = log2(x + 3) + 2?

A. (5, 1)

B. (5, 5)

C. (11, 1)

D. (11, 5)

User Andy Groff
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2 Answers

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Given that the point (8, 3) lies on the graph of g(x) = log2x, which point lies on the graph of f(x) = log2(x + 3) + 2?


ANSWER

(5,5)

User Dragonsnap
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3 votes
The point (8,3) lies on the graph of g(x).
If we compare g(x) with f(x) we can see that, f(x) is obtained from g(x) after following translations:

a) Adding 3 to x.
Addition of 3 to x means horizontal shift towards left. So this means the point will also be shifted 3 units to left

b) Addition of 2 to the function value
This indicates a vertical shift upwards by 2 units. So this means the point will also be shifted 2 units up.

Moving (8,3) 3 units to left will be (5,3) and then moving it 2 units up, it will be (5,5)

So, the answer to this question is option B
User Aseferov
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