Question 263457
If we know the original graph as
f(x) = -(x-1)^2+1,
then 
horizontal shift 2 units left
vertical shift 1 unit up.
here is the graph of f(x)=-(x-1)^2+1
{{{ graph( 300, 200, -6, 5, -10, 10, -(x-1)^2+1) }}}
here is the graph of -f(x+1)^2+2
{{{ graph( 300, 200, -6, 5, -10, 10, -(x+1)^2+2) }}}