The function f(x) = x^3 has been transformed, resulting in function h. h(x) = -(x+2)^3-4

To create function h, function f was translated 2 units (down, to the left, up to the right) , translated 4 units (to the right, down to the left, up) , and reflected across the (y-axis, x-axis) .

To create function h, function f was translated 2 units to the right, translated 4 units down and reflected across the y-axis.

Step-by-step explanation:

Since f(x) = x^3 is transformed to h(x) = -(x+2)^3-4, by

1. Adding 2 to x in x³ to give f'(x) = f(x + 2) = (x + 2)³.

2. We now translate f(x + 2) down by subtracting 4 from f(x + 2) to give

f''(x) = f'(x) - 4 = f(x +2) - 4 = (x + 2)³ - 4.

3. We now reflect f'(x) across the y-axis by multiplying (x + 2)³ by -1 to get

h(x) = -(x + 2)³ - 4.

its 2 to the left, 4 units down, and over the x axis.

Step-by-step explanation:

not my answer just the one from the comments

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step-by-step explanation:

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step-by-step explanation: