Answer
The third graph accurately illustrates the vertex and axis of symmetry for the function f(x) = (x + 1)² Р3, making option three the right choice. A quadratic function is defined as f(x) = ax² + bx + c, where x is a variable and a, b, and c are real numbers with a ≠ 0. Our function f(x) = (x + 1)² Р3 is classified as a quadratic or parabolic function. In vertex form, it can be expressed as f(x) = (x Рh)² + k. By comparing, we find h = -1 and k = -3, giving us the vertex (h, k) = (-1, -3). The axis of symmetry can be determined by x + 1 = 0, leading to x = -1. Therefore, the third graph indeed represents the correct vertex and axis of symmetry for the function f(x) = (x + 1)² Р3.
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