Question

Побудуйте графік функції y=0,5

Answer 1

Ответ:

Пошаговое объяснение:

Парабола так как

$y = x^{2}$  это парабола

но тут коеффицент 0.5 поэтому y увеличивается медленнее и парабола становится толще

Answer 2

Plot of the Function y = 0.5x^2

To plot the function y = 0.5x^2, we can create a graph with x-values ranging from -3 to 4. We will substitute these x-values into the equation and calculate the corresponding y-values.

a) Calculating y-values for x = -3, -2, 1, and 4: - For x = -3: y = 0.5 * (-3)^2 = 0.5 * 9 = 4.5 - For x = -2: y = 0.5 * (-2)^2 = 0.5 * 4 = 2 - For x = 1: y = 0.5 * (1)^2 = 0.5 * 1 = 0.5 - For x = 4: y = 0.5 * (4)^2 = 0.5 * 16 = 8

b) Calculating x-values for y = 2, 4.5, and 8: - For y = 2: 2 = 0.5x^2 -> x^2 = 2/0.5 -> x^2 = 4 -> x = ±2 - For y = 4.5: 4.5 = 0.5x^2 -> x^2 = 4.5/0.5 -> x^2 = 9 -> x = ±3 - For y = 8: 8 = 0.5x^2 -> x^2 = 8/0.5 -> x^2 = 16 -> x = ±4

Therefore, the x and y values for the function y = 0.5x^2 are as follows: - For x = -3, y = 4.5 - For x = -2, y = 2 - For x = 1, y = 0.5 - For x = 4, y = 8

The graph of the function y = 0.5x^2 will have these points plotted on it.