Respuesta :

  1. For this question the answer is letter A because f(x) = x2 and when you expand (x-1)2 it gives you x2
kudzordzifrancis

ANSWER

D. G(x)=(x+1)²

EXPLANATION

The equation of the red graph is

[tex]F(x) = {x}^{2} [/tex]

This function has its vertex at the origin.

The blue graph is obtained by shifting the red graph 1 unit to the left.

The vertex will now be at (-1,0)

The equation of the new function in the vertex form is

[tex]G(x)= {(x + 1)}^{2} [/tex]

The correct choice is D.