Question

4) y = -x² - 2,6x - 1,6.​

Answer 1

Ответ:

Объяснение:

y = -x² - 2,6x - 1,6.​

Таблица значений и график см. на скриншоте

Answer 2

The given equation is y = -x² - 2.6x - 1.6.

This equation represents a quadratic function, where the highest power of x is 2. The general form of a quadratic function is y = ax² + bx + c, where a, b, and c are constants.

Comparing the given equation with the general form, we can see that a = -1, b = -2.6, and c = -1.6.

The graph of a quadratic function is a parabola. In this case, since the coefficient of x² is negative (a = -1), the parabola opens downwards.

To plot the graph of the equation, we can use the vertex form of a quadratic function, which is y = a(x - h)² + k, where (h, k) represents the coordinates of the vertex.

To find the vertex, we can use the formula: h = -b / (2a) k = f(h)

Plugging in the values, we get: h = -(-2.6) / (2*(-1)) = 1.3 k = -1(1.3)² - 2.6(1.3) - 1.6 ≈ -6.69

So, the vertex of the parabola is approximately (1.3, -6.69).

We can now plot the graph using the vertex and a few additional points:

• Substitute some x values into the equation to find corresponding y values: For x = 0: y = -0² - 2.6(0) - 1.6 = -1.6 For x = 1: y = -1² - 2.6(1) - 1.6 = -6.2 For x = -1: y = -(-1)² - 2.6(-1) - 1.6 = 0

Now we have three points: (0, -1.6), (1, -6.2), and (-1, 0).

Plotting these points and the vertex (1.3, -6.69) on a coordinate plane, we can sketch the graph of the quadratic function. The parabola will open downwards and have its vertex as the highest point.

Note: The sketch is an approximation without precise measurements.

Here's an approximate graph of the equation y = -x² - 2.6x - 1.6:

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Please keep in mind that this is a rough sketch and not an accurate graph.