Find the values of x for which `y=[x(x-2)]^2`is an increasing function

Explanation

To find the values of \( x \) for which the function \( y = [x(x-2)]^2 \) is an increasing function, we will follow these steps:

### Step 1: Define the function
Let \( y = [x(x-2)]^2 \).

### Step 2: Differentiate the function
To determine where the function is increasing, we need to find the first derivative \( \frac{dy}{dx} \).

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