Question

Which translation maps the vertex of the graph of the function f(x) = x2 onto the vertex of the function g(x) = x2 + 2x +1?

right 1 unit
left 1 unit
right 2 units
left 2 units

Answer 1

Left 1 unit.

Reason: f(x)=x^2 has vertex (0,0). g(x)=x^2+2x+1=(x+1)^2 has vertex (-1,0), which is 1 unit left of (0,0).