Question

Hey can you please help me posted picture of question MATH

Answer 1

The blue graph is a horizontal translation of the red graph to the left. To horizontally translate the red graph for the function F(x) = x², we substitute x - h for x in the given function. Since the blue graph shifts one unit to the left, h is equal to -1.
Replacing F(x) with F(x - h), we get the equation G(x) of the blue graph:
     F(x - h) = (x - (-1))² = (x + 1)² = G(x)
Therefore, the answer is D. G(x) = (x + 1)².