Question

Постройте график функции y = 2(х – 2)2. Найдите «нули функции»​

Answer 1

Ответ:

ответ будет ; х=2 это нули функция

Answer 2

Graph of the Function y = 2(x – 2)^2

To graph the function \( y = 2(x - 2)^2 \), we can use the information provided in the search results to understand its behavior and find its zeros.

The given function is in the form of a quadratic function, where the vertex form of a quadratic function is given by \( y = a(x - h)^2 + k \), where (h, k) is the vertex of the parabola.

The vertex of the parabola is at the point (2, 0), and the parabola opens upwards because the coefficient of the \( x^2 \) term is positive.

Zeros of the Function

To find the zeros of the function, we can set \( y = 0 \) and solve for x. The zeros of the function are the x-values where the function crosses the x-axis.

The function can be rewritten as \( y = 2(x - 2)(x - 2) \), which helps us identify the zeros of the function.

Setting \( y = 0 \), we have: \[ 0 = 2(x - 2)(x - 2) \]

Solving for x, we get: \[ x = 2 \]

So, the function has a zero at \( x = 2 \).

Conclusion

In conclusion, the graph of the function \( y = 2(x - 2)^2 \) is a parabola with its vertex at (2, 0) and has a zero at \( x = 2 \).

I hope this helps! If you have further questions or need additional assistance, feel free to ask.