D. g(x) = (x-3)²+ 1
The blue parabola is three units to the right (x-axis) of the origin. It is also raised one unit up on the y-axis.
The red parabola’s equation is f(x) = x^2. Taking the formula y=(x-k)²+h, where k is the number of units moved to the right and h is the number of units moved upwards, we can find the blue graph’s equation.
So, y=(x-3)²+1 creates the blue parabola.
The answer is D. g(x) = (x-3)²+ 1