Question

Graphs. I dont understand. Please. Thank you!

Answer 1

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

Answer 2

ANSWER

D. G(x)=(x+1)²

EXPLANATION

The equation of the red graph is

$F(x) = {x}^{2}$

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

$G(x)= {(x + 1)}^{2}$

The correct choice is D.