The parent function of the quadratic function is y = x^2.
The negative coefficient in the quadratic function y = -x^2 + 6 reflects the function about the x-axis, which means the graph of the function is an upside-down parabola that opens downwards.
The coefficient of 6 in the function shifts the graph of the function upward by 6 units, which means the vertex of the parabola is at (0,6) instead of (0,0) as in the parent function.
Overall, the quadratic function y = -x^2 + 6 is a transformed version of the parent function y = x^2 that is reflected about the x-axis and shifted upward by 6 units.