The parent role of the attributes of the form f x = x − a + b is f x = x .

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keep in mind that the domain that f x = x is x ≥ 0 and also the variety is y ≥ 0 .

The graph that f x = x − a + b deserve to be acquired by translating the graph the f x = x come a units to the right and also then b units up.


Example:

sketch the graph of y = x − 1 + 2 from its parental graph y = x .


Solution:

action 1: draw the graph the y = x .

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step 2: move the graph the y = x through 1 unit come the appropriate to obtain the graph the y = x − 1 .

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action 3: move the graph of y = x − 1 through 2 devices up to acquire the graph that y = x − 1 + 2 .

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The domain that the duty y = x − 1 + 2 is x ≥ 1 .

The variety of the duty y = x − 1 + 2 is y ≥ 2 .


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