Question

Матан график помогите y=√-(x-3) построить график функции

Answer 1

1. Строим график у = √х

2. Отображаем симметрично относительно оси  Оу.
Получаем  y = √ (- x)

3. Смещаем на 3 вправо. Получаем
y = √( - x + 3) = √(- (x - 3))

Answer 2

Calculating and plotting the graph of the function y=√-(x-3)

To calculate and plot the graph of the function y=√-(x-3), let's go through the following steps:

1. Define the function: `f(x) = √-(x-3)`

2. Take the square of both sides: `(f(x))^2 = -(x-3)`

3. Simplify: `(f(x))^2 + (x-3) = 0`

4. Use the quadratic formula to solve for x: `x = 3 ± √(−1)`

5. Note that the domain of the square root function is [0,∞). Since the expression under the square root is negative, there are no real solutions for x.

6. Therefore, this function is not defined for any real values of x. We cannot plot its graph.

In summary, while the function y=√-(x-3) is mathematically defined, it does not have any real solutions and thus cannot be plotted as a graph. The domain of the square root function restricts valid inputs to non-negative values only.