Question

The graph attatched has the same shape as the graph of g(x)=x^2. But It's shifter up four units and to the right two units. Complete it's equation?
F(x)=

Answer 1

the new vertex is (+2, +4) This is the shift to the right 2 units, and up 4 units, h = 2, k = 4:
\[f(x) = (x-h)^{2}+k \Rightarrow f(x) = (x-2)^{2}+4\]

Answer 2

the original is
\[(x-2)^2+4\]
\[f(x)=(x-4)^2+8\]

Answer 3

the original is g(x) = x^2. read the first line of the of question posted. the function we want the answer to is like x^2, but shifted up four and right two. we are shifting x^2.

Answer 4

I think you should say the picture is after shifts up four units and to the right two units , find the original

Answer 5

the the original graph is x^2