Question

Постройте график функции:y=2x²+5xПомогите пожалуйста,чтобы был полный ответ и чертёж!!!)

Answer 1

Вот) Надеюсь помогла, рада была помочь)

Answer 2

Graph of the Function y = 2x² + 5x

To graph the function y = 2x² + 5x, we can follow these steps:

1. Determine the range of x-values you want to plot. Let's say we choose a range from -5 to 5.

2. Calculate the corresponding y-values for each x-value in the chosen range. We can do this by substituting the x-values into the equation y = 2x² + 5x.

For example, when x = -5: y = 2(-5)² + 5(-5) = 50 - 25 = 25

Similarly, when x = -4: y = 2(-4)² + 5(-4) = 32 - 20 = 12

Repeat this process for other x-values in the chosen range.

3. Plot the points (x, y) on a coordinate plane.

4. Connect the plotted points with a smooth curve to obtain the graph of the function.

Let's plot the graph using the chosen range of -5 to 5:

| x | y | | --- | ----------- | | -5 | 25 | | -4 | 12 | | -3 | 3 | | -2 | -2 | | -1 | -1 | | 0 | 0 | | 1 | 7 | | 2 | 14 | | 3 | 21 | | 4 | 28 | | 5 | 35 |

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


Please note that the graph is a parabola that opens upwards. The vertex of the parabola is the lowest point on the curve, and it occurs at the x-coordinate of -5/4. The graph is symmetric with respect to the vertical line passing through the vertex.

I hope this helps! Let me know if you have any further questions.