How can the graph of f(x) = -(x-5)^2+6 be obtained from the graph of y = x^2

Question

How can the graph of f(x) = -(x-5)^2+6 be obtained from the graph of y = x^2

Answer 1

This requires you to apply your transformations of a function. First, you need to shift the graph to the right 5 units, then reflect the graph across the x-axis. Finally, shift the graph up six units. It is important that these transformations are done in this particular order.