Describe how the graph of the function y = f (x-3) can be obtained from the graph of y = f (x).

Question

Mathematics

Gilbert Reeves

15 October, 18:36

Describe how the graph of the function y = f (x-3) can be obtained from the graph of y = f (x).

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Answers (1)

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Tyshawn Gallagher · Answer 1

Any graph f (x) can be changed to f (x-3) by changing any x to x-3.

For example: Let f (x) = x^{2} + 2x + 4

Find f (x-3) by replacing all x's with x-3.

f (x-3) = (x - 3) ^{2} + 2 (x - 3) + 4

Then we can simplify and we will have f (x-3).