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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

Respuesta :

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:

  There is a left shift of 1 unit

Step-by-step explanation:

Given equation is [tex]f(x)=x^2[/tex] and  [tex]g(x)=x^2+2x+1[/tex]

the vertex of equation[tex]f(x)=x^2[/tex]  is (0,0)

and we see the vertex of [tex]g(x)=x^2+2x+1[/tex] 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 .

Ver imagen DodieZollner

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