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

Answer 1

X^2 + 2x + 1
= (x + 1)^2

so the vertex is  at the point (-1,0)
x^2 has a vertex  at (0,0)
So its a translation of 1 unit to the left.

Answer 2

Answer:

  There is a left shift of 1 unit

Step-by-step explanation:

Given equation is $f(x)=x^2$ and  $g(x)=x^2+2x+1$

the vertex of equation$f(x)=x^2$  is (0,0)

and we see the vertex of $g(x)=x^2+2x+1$ is (-1,0)

we can see this in the graph attached

so, there is translation of vertex of the graph is by left shifting of vertex by 1 unit .