Final answer:
The coordinates of the vertex for the equation y = (x - 7)^2 + 19 are (7, 19).
Step-by-step explanation:
The given quadratic function is in the vertex form y = (x - h)^2 + k, where (h, k) represents the coordinates of the vertex. In the given function y = (x - 7)^2 + 19, the vertex form indicates that the vertex is at the point (7, 19). The value of h in this case is 7, which corresponds to the x-coordinate of the vertex, and k is 19, representing the y-coordinate. Therefore, the coordinates of the vertex for the given quadratic function are (7, 19). This point represents the minimum point of the parabolic curve defined by the quadratic equation.