Question

The graph of F(x), has the same shape as the graph of G(x) = x^2 + x, but it is shifted to the left one unit. Complete its equation below.


F(x) = _____

Answer 1

Do you mean \[G(x)=x^2+x\]?

Answer 2

yes my mistake

Answer 3

F(x)=(x+1)^2+(x+1)
=>x^2+2x+1+x+1
=>x^2+3x+2 (Ans)

Answer 4

Whenever there is a right shift in f(x) by a units , Replace x by (x-a) in f(x)
Whenever there is a left shift in f(x) by a units , Replace x by (x+a) in f(x)
Hope this will generalize the concept :)

Answer 5

it did! thanks again!(: