Question

I need help with shifting functions

Answer 1

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g(x) = h(x - 7) + 5

The plus 5 on the outside of the brackets represents the graph moving up by 5 units

The minus 7 on the inside of the brackets represents the graph moving right by 7 units.

Note: When it is on the inside of the brackets, you would do the opposite of what it suggests.

Normally, minus 7 would mean the graph shifts to the left, however, it means the opposite in this case.

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Answer 2

g(x) = h (x - 7) + 5

Hope this helps!