
Y=(x-2)^2+3 график функций


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Пошаговое объяснение:







The given function is in the form of a quadratic equation, where Y is a function of x. It represents a parabola.
The general form of a quadratic equation is Y = ax^2 + bx + c, where a, b, and c are constants.
In this case, a = 1, b = -4, and c = 7. We can identify them from the given equation Y = (x - 2)^2 + 3.
Let's plot the graph of the function:
To do this, we'll choose some x values, calculate the corresponding Y values, and then plot the points on the graph.
Here's a table of values:
x | Y = (x-2)^2 + 3 |
---|---|
0 | 7 |
1 | 4 |
2 | 3 |
3 | 4 |
4 | 7 |
Now, let's plot these points on the graph:
(Note: The graph is approximate and drawn manually.)
markdown |
8 | *
|
7 | * *
| * *
6 | *
| *
5 |
|
4 | *
| *
3 | *
| *
2 | *
| *
1 | *
| *
0 |_____________
0 1 2 3 4
The graph is a parabola that opens upwards, and its vertex is at the point (2, 3). The parabola is symmetric about the vertical line x = 2, and it opens upwards because the coefficient of x^2 is positive (a = 1). The lowest point on the graph (the vertex) is at Y = 3. As we move away from the vertex in either direction along the x-axis, the Y values increase.


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