Final answer:
The coordinates of the vertex of the parabola described by the equation y = 2(x+5)^2+3 are (-5, 3). The equation is in vertex form, which directly provides the vertex coordinates.
Step-by-step explanation:
The question pertains to identifying the coordinates of the vertex of a parabola given in the equation form y = 2(x+5)^2+3. This equation is in vertex form, where the vertex (h, k) can be found directly from the equation as the opposite of the value inside the parentheses and the value outside. Therefore, the vertex of the parabola described by y = 2(x+5)^2+3 is (-5, 3).
The vertex form of a parabola is y = a(x-h)^2+k, where (h, k) is the vertex of the parabola. The 'a' value affects the width and direction of the parabola. Here, 'a' is 2, meaning the parabola opens upwards and is narrower than the standard parabola y = x^2.