
Игрик равно два икс квадрате плюс пять икс минус три График функций


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Graph of the Functions
To graph the functions f(x) = 3x^2 + 18 and g(x) = x^2 - 1, we can analyze their equations and plot the corresponding points.
For the function f(x) = 3x^2 + 18, the graph is a parabola that opens upwards. The vertex of the parabola is at the point (-3, 18), and the axis of symmetry is the vertical line x = -3. The graph of f(x) will be symmetric with respect to this line.
For the function g(x) = x^2 - 1, the graph is also a parabola, but it opens upwards. The vertex of the parabola is at the point (0, -1), and the axis of symmetry is the vertical line x = 0.
To plot the graphs, we can choose some x-values and calculate the corresponding y-values using the equations of the functions. Here are a few points for each graph:
For f(x): - When x = -3, y = 3(-3)^2 + 18 = 27 + 18 = 45. So we have the point (-3, 45). - When x = -2, y = 3(-2)^2 + 18 = 12 + 18 = 30. So we have the point (-2, 30). - When x = -1, y = 3(-1)^2 + 18 = 3 + 18 = 21. So we have the point (-1, 21). - When x = 0, y = 3(0)^2 + 18 = 0 + 18 = 18. So we have the point (0, 18). - When x = 1, y = 3(1)^2 + 18 = 3 + 18 = 21. So we have the point (1, 21). - When x = 2, y = 3(2)^2 + 18 = 12 + 18 = 30. So we have the point (2, 30). - When x = 3, y = 3(3)^2 + 18 = 27 + 18 = 45. So we have the point (3, 45).
For g(x): - When x = -3, y = (-3)^2 - 1 = 9 - 1 = 8. So we have the point (-3, 8). - When x = -2, y = (-2)^2 - 1 = 4 - 1 = 3. So we have the point (-2, 3). - When x = -1, y = (-1)^2 - 1 = 1 - 1 = 0. So we have the point (-1, 0). - When x = 0, y = (0)^2 - 1 = 0 - 1 = -1. So we have the point (0, -1). - When x = 1, y = (1)^2 - 1 = 1 - 1 = 0. So we have the point (1, 0). - When x = 2, y = (2)^2 - 1 = 4 - 1 = 3. So we have the point (2, 3). - When x = 3, y = (3)^2 - 1 = 9 - 1 = 8. So we have the point (3, 8).
By plotting these points and connecting them, we can obtain the graphs of the functions f(x) = 3x^2 + 18 and g(x) = x^2 - 1.
Please note that the exact shape and position of the graphs may vary depending on the scale and range of the axes used in the graph.


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