list all the ways that the graph of the parent function y=x^2 would be transformed to create the graph of the new function y=-(c--1)^2-5. Make sure you include how much it is shift and transformed
1. Reflection over the x-axis: The negative sign in front of the function reflects the graph of y=x^2 over the x-axis.
2. Vertical stretch/shrink: The value of c affects the vertical stretch or shrink of the graph. For example, if c>1, the graph is stretched vertically; if 0<c<1, the graph is shrunk vertically.
3. Vertical translation: The value of 1 in the expression (c--1) shifts the graph 1 unit to the right.
4. Vertical translation: The value of -5 in the expression -(c--1)^2-5 shifts the graph 5 units downward.
In summary, the graph of the function y=-(c--1)^2-5 will be a vertically reflected, stretched or shrunk, and shifted graph of the parent function y=x^2.