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Given that (-7,-7) is on the graph of f(x), find the corresponding point for the function f(x-5)

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Answer: (-2,-7)

Explanation:

A function f(x-c) , where c>0 , represents the horizontal shift of original function to the right c units.

The function f(x-c) is going to add c to the x value, while keeping the y value the same.

Similarly,

The function f(x-5) is going to add 5 to the x value, while keeping the y value the same.

So, the corresponding point to (-7,-7) on f(x-5) = (-7+5,-7)

= (-2,-7)

hence, the corresponding point to (-7,-7) on f(x-5) = (-2,-7)

User Donghua Liu
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