Answer:
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Vertex form of a quadratic function:
- y = a(x - h)² + k, where (h, k) is vertex and a - constant
Given (h, k) = (-1, -1) and a point (0, 0).
Substitute all into equation and solve for a:
- 0 = a(0 - (-1))² - 1
- 0 = a - 1
- a = 1
The parabola is:
Convert it to the standard form:
- y = (x + 1)² - 1
- y = x² + 2x + 1 - 1
- y = x² + 2x