Question

1. Постройте график функции y=x2-10x+19.

Answer 1

Ответ:

в файле...................

Answer 2

Graph of the Function y = x^2 - 10x + 19

To plot the graph of the function y = x^2 - 10x + 19, we can use the standard form of a quadratic equation, y = ax^2 + bx + c. In this case, a = 1, b = -10, and c = 19.

To create the graph, we can follow these steps:

1. Determine the x-values to plot on the graph. We can choose a range of x-values to cover a sufficient portion of the graph. Let's choose x-values from -5 to 15.

2. Substitute each x-value into the equation y = x^2 - 10x + 19 to find the corresponding y-values.

3. Plot the points (x, y) on the graph.

4. Connect the plotted points with a smooth curve.

Let's calculate the y-values for a range of x-values and plot the graph.

|x|y| |-|-| |-5|84| |-4|59| |-3|40| |-2|27| |-1|20| |0|19| |1|24| |2|35| |3|52| |4|75| |5|104| |6|139| |7|180| |8|227| |9|280| |10|339| |11|404| |12|475| |13|552| |14|635| |15|724|

Now, let's plot these points on the graph:


The graph of the function y = x^2 - 10x + 19 is a downward-opening parabola. It intersects the y-axis at the point (0, 19) and does not intersect the x-axis. The vertex of the parabola is located at the minimum point of the graph.

Please note that the graph is a visual representation of the function and can be used to analyze its behavior and properties.