Question

5. Постройте график функции y = (x + 1)^2 - 2.

Answer 1

Решение в приложении
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Answer 2

Graph of the Function y = (x + 1)^2 - 2

To graph the function y = (x + 1)^2 - 2, we can start by identifying key points and then plotting the graph.

The function y = (x + 1)^2 - 2 is a quadratic function in the form of y = a(x - h)^2 + k, where (h, k) is the vertex of the parabola.

Key Points:

- Vertex: The vertex of the parabola is at the point (-1, -2). - Axis of Symmetry: The axis of symmetry is the vertical line passing through the vertex, which is x = -1. - Y-Intercept: To find the y-intercept, we can substitute x = 0 into the function: y = (0 + 1)^2 - 2 = 1 - 2 = -1.

Now, let's plot these key points and sketch the graph of the function y = (x + 1)^2 - 2.

Vertex: (-1, -2)
Axis of Symmetry: x = -1
Y-Intercept: (0, -1)

Graph:

- The vertex is at (-1, -2). - The axis of symmetry is the vertical line x = -1. - The y-intercept is at (0, -1).

Now, we can plot these points and sketch the parabola to visualize the graph of the function y = (x + 1)^2 - 2.