SOLUTION: given the graph y=f(x) where f(x)=-(x-1)^2+1, find the graph of -f(x+1)^2+2

Algebra ->  Graphs -> SOLUTION: given the graph y=f(x) where f(x)=-(x-1)^2+1, find the graph of -f(x+1)^2+2      Log On


   

Question 263457: given the graph y=f(x) where f(x)=-(x-1)^2+1, find the graph of -f(x+1)^2+2
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
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%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+-%28x-1%29%5E2%2B1%29+
here is the graph of -f(x+1)^2+2
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+-%28x%2B1%29%5E2%2B2%29+