Question

I am given the graph of y=f(x) and I am asked to sketch the graph of y=-2f(-x). How do I move and/or rotate the given graph?

Answer 1

if you have f(x), then to get f(-x) you just flip the graph over the y-axis

Now, scale that by a factor of 2 to get 2f(-x)

Now, flip the whole shebang over the x-axis to get -2f(-x)

play around with online graphing sites and you can see what happens by doing these kinds of transformations