Question

Построите график функции y= -√x 1) Перечислите её свойства. 2) Найдите значение y, если х=-9; найдите знаение х, если у=-9; 3)выясните, как расположены графики функции y= -√x и y= √x помогитеее умоляяяяяяяяяяю

Answer 1

График-ветка парабулы 2) у=-√-9 корень с отрицательного числа найти нельзя потом -9=-√х
-9=-√81 х=81 3) они расположены противоположно

Answer 2

Graph of the Function y = -√(x + 1)

Let's start by plotting the graph of the function y = -√(x + 1).

The graph of the function y = -√(x + 1) is a reflection of the graph of y = √(x) about the y-axis and then a translation of 1 unit to the left. The square root function y = √(x) is a basic function with certain properties.

Properties of the Function y = -√(x + 1)

1. Domain and Range: The domain of the function y = -√(x + 1) is x ≥ -1, and the range is y ≤ 0. 2. Symmetry: The graph of y = -√(x + 1) is symmetric about the y-axis. 3. Intercepts: The y-intercept occurs when x = -1, and the x-intercept does not exist for real numbers. 4. Decreasing Function: The function is decreasing for all x values in its domain.

Now, let's find the value of y when x = -9 and the value of x when y = -9.

Finding the Value of y when x = -9

Substitute x = -9 into the function y = -√(x + 1) to find the value of y: y = -√(-9 + 1) y = -√(-8) y = -2√2

So, when x = -9, y = -2√2.

Finding the Value of x when y = -9

To find the value of x when y = -9, we need to solve the equation -√(x + 1) = -9 for x: -√(x + 1) = -9 Square both sides to solve for x: x + 1 = 81 x = 80

So, when y = -9, x = 80.

Relationship between the Graphs of y = -√(x) and y = √(x)

The graphs of y = -√(x) and y = √(x) are related as follows: - The graph of y = -√(x) is a reflection of the graph of y = √(x) about the x-axis.

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