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

we know that

The vertex of the function

`f(x)=x^(2)`

is the point
`(0,0)`

and

the function

`g(x)=x^(2) +2x+1`

is equal to

`g(x)=(x+1)^(2)`

so

the vertex is the point
`(-1,0)`

therefore

the answer is

The translation to maps the vertex of f(x) onto the vertex of g(x) has the following rule

`(x,y)--------> (x-1, y)`

check

`(0,0)----> (0-1,0)----> (-1,0)` is ok