A student was given the function f(x) = x2 and asked to write the result of translating this function 1 unit to the left. The student wrote the following: g(x) = (x+1)2. Is this statement correct? Explain.

Answer 1

Please use a ^ symbol before exponents.

To move f(x)= x^2 one unit to the left, add 1 to x. The answer is yes.

g(x) = (x+1)^2
has its minimum at x = -1.