Write a formula for the function g(x) obtained when the graph of f(x)= square root x is shifted up 1 unit and to the left 9 units .

The function after the transformations is:

To solve this question, transformations are applied to the original function.

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Original function:

The original function is:

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Shifted up 1 unit

Shifting a function f(x) up a units means that:

Thus, the function shifted up 1 unit is:

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Shifted left 9 units

Shifting a function f(x) left a units means that:

Thus, the function shifted left 9 units, combined with the shifting up, is:

A similar question is found at link

with that template in mind, let's take a peek.

answer:

c) the x-coordinate of the center of the circle increases by 3

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