Answer:
graph of g(x) will be translated 1 unit to the left
Step-by-step explanation:
\(g(x) = x^2 + 2x +1\)
LEts write the given g(x) in vertex form
WE apply completing the square method
WE take coefficient of x and then divide it by 2 and then square it
\(2 by 2= 1\)
\(1^2=1\)
add and subtract 1
\(g(x) = x^2 + 2x +1\)
\(g(x) =(x^2 + 2x +1)-1+1\)
now we factor \(x^2+2x+1= (x+1)(x+1)\)
\(g(x) =(x+1)(x+1)-1+1\)
\(g(x) =(x+1)^2\)
Now we compare with the graph of \(f(x)= x^2\)
In g(x), 1 is added with x
So graph of g(x) will be translated 1 unit to the left
