Question

Y=-3(x-6)^2+3 Построить график, табличку и описание

Answer 1

Ответ:

в прошлом году это проходили, в уже забыла прости

Answer 2

Equation and Graph Description

The given equation is Y = -3(x-6)^2 + 3. Let's break it down and analyze its components:

- The equation is in the form of a quadratic function, where Y represents the dependent variable and x represents the independent variable. - The equation contains a quadratic term (x-6)^2, which means that the graph will be a parabola. - The coefficient in front of the quadratic term is -3, indicating that the parabola will be facing downwards. - The constant term is +3, which represents the vertical shift of the parabola.

To better understand the graph, let's create a table of values and plot the points on a graph.

Table of Values

To create a table of values, we can choose different values for x and calculate the corresponding Y values using the given equation. Here's a table of values for x ranging from -10 to 20:

| x | Y | |-------|-------| | -10 | 123 | | -5 | 18 | | 0 | 3 | | 5 | 18 | | 10 | 123 | | 15 | 258 | | 20 | 423 |

Graph

Now, let's plot the points from the table of values on a graph to visualize the parabolic shape of the equation.


The graph of the equation Y = -3(x-6)^2 + 3 is a downward-facing parabola. The vertex of the parabola is located at the point (6, 3), which is the minimum point of the graph. The parabola opens downwards because the coefficient of the quadratic term is negative.

Conclusion

In summary, the equation Y = -3(x-6)^2 + 3 represents a downward-facing parabola with its vertex at the point (6, 3). The graph of the equation can be visualized as a U-shaped curve.