Question

If g(x)=x^2-2x+1 were shifted 2 units to the left, what would be the new equation, h(x)?

Answer 1

h(x) = (x+2) ^2 -2x -3

Explanation:

If we have to shift 2 units left the we have to replace x by x+2 i.e

h(x) = (x+2)^2-2(x+2)+1

= (x+2)^2 -2x-4 +1

= (x+2)^2 -2x -3