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If f(x) has been transformed by a reflection over the x-axis, translated right 3, and up 4, write the transformation in function notation.

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Final answer:

The transformed function notation after a reflection over the x-axis, right translation by 3 units, and upward translation by 4 units is –f(x - 3) + 4.

Step-by-step explanation:

When transforming a function f(x), various operations can be applied to shift, reflect, or stretch the graph of the function. In this case, the function is being reflected over the x-axis, translated right 3 units, and translated up 4 units. To reflect a function over the x-axis, we multiply the function by -1, so f(x) becomes -f(x). To translate the function right 3 units, we replace x with (x - 3), resulting in -f(x - 3). Finally, to translate the function up 4 units, we add 4 to the result, yielding the transformed function -f(x - 3) + 4.

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