Let the graph of g be a horizontal shrink by a factor of 1/2 and a reflection in the x -axis, followed by a translation 1 unit down of the graph of f(x) = x ^ 2 . write a rule for g.

Step-by-step explanation:

Some transformations for a function f(x) are:

- If , the function is shifted down "k" units.

- If  and , the function is horizontally shrunk (or compressed).

- If , the function is reflected over the x-axis.

Therefore, knowing these transformations for a function, and knowing that the transformation the function g(x) is obtained by:

- Shrinking horizontally the function f(x) by a factor of .

- Reflecting the function f(x) in the x-axis.

- Translating the function f(x) 1 units down.

You can write the following function:

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step-by-step explanation:

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