Question

Y = x^2 - 4 построить график

Answer 1

y = x² - 4

Строим сначала обычную квадратичную функцию y=x² и затем параллельно смещаем на 4 единицы вниз.

Answer 2

Graph of y = x^2 - 4

To plot the graph of the equation y = x^2 - 4, we can use the standard Cartesian coordinate system. The x-axis represents the input values, and the y-axis represents the corresponding output values.

To get started, let's first find some points on the graph by substituting different values of x into the equation and calculating the corresponding y-values.

When x = -2: y = (-2)^2 - 4 = 4 - 4 = 0

When x = -1: y = (-1)^2 - 4 = 1 - 4 = -3

When x = 0: y = (0)^2 - 4 = 0 - 4 = -4

When x = 1: y = (1)^2 - 4 = 1 - 4 = -3

When x = 2: y = (2)^2 - 4 = 4 - 4 = 0

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

- (-2, 0) - (-1, -3) - (0, -4) - (1, -3) - (2, 0)

We can see that the graph is symmetric with respect to the y-axis and opens upward. The vertex of the parabola is at the point (0, -4), which is the lowest point on the graph.

Graph of y = x^2 - 4:


Please note that the graph is a smooth curve, and the points mentioned above are just a few examples to give you an idea of the shape of the graph.